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Finding the Fourth Proportional to 1,646.47, 2,470.01 and 632.14

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Solution

The fourth proportional to 1,646.47, 2,470.01 and 632.14 is: 948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.47 : 2,470.01 = 632.14 : x
  2. Step 2: Convert to fraction form
    1,646.47/2,470.01 = 632.14/x
  3. Step 3: Cross multiply
    1,646.47x = 2,470.01 × 632.14
  4. Step 4: Simplify right side
    1,646.47x = 1,561,392.12
  5. Step 5: Solve for x
    x = 1,561,392.12/1,646.47
  6. Step 6: Final answer
    x = 948.33

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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.