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Finding the Fourth Proportional to 1,651.76, 2,477.64 and 419.07

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Solution

The fourth proportional to 1,651.76, 2,477.64 and 419.07 is: 628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.76 : 2,477.64 = 419.07 : x
  2. Step 2: Convert to fraction form
    1,651.76/2,477.64 = 419.07/x
  3. Step 3: Cross multiply
    1,651.76x = 2,477.64 × 419.07
  4. Step 4: Simplify right side
    1,651.76x = 1,038,304.59
  5. Step 5: Solve for x
    x = 1,038,304.59/1,651.76
  6. Step 6: Final answer
    x = 628.61

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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.