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Finding the Fourth Proportional to 2,549,160, 3,823,740 and 776,232

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Solution

The fourth proportional to 2,549,160, 3,823,740 and 776,232 is: 1,164,348

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549,160 : 3,823,740 = 776,232 : x
  2. Step 2: Convert to fraction form
    2,549,160/3,823,740 = 776,232/x
  3. Step 3: Cross multiply
    2,549,160x = 3,823,740 × 776,232
  4. Step 4: Simplify right side
    2,549,160x = 2,968,109,347,680
  5. Step 5: Solve for x
    x = 2,968,109,347,680/2,549,160
  6. Step 6: Final answer
    x = 1,164,348

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.