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Finding the Fourth Proportional to 2,484.80, 3,726.80 and 924.45

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Solution

The fourth proportional to 2,484.80, 3,726.80 and 924.45 is: 1,386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.80 : 3,726.80 = 924.45 : x
  2. Step 2: Convert to fraction form
    2,484.80/3,726.80 = 924.45/x
  3. Step 3: Cross multiply
    2,484.80x = 3,726.80 × 924.45
  4. Step 4: Simplify right side
    2,484.80x = 3,445,240.26
  5. Step 5: Solve for x
    x = 3,445,240.26/2,484.80
  6. Step 6: Final answer
    x = 1,386.53

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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.