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Finding the Fourth Proportional to 1,635.71, 2,447.42 and 975.15

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Solution

The fourth proportional to 1,635.71, 2,447.42 and 975.15 is: 1,459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.71 : 2,447.42 = 975.15 : x
  2. Step 2: Convert to fraction form
    1,635.71/2,447.42 = 975.15/x
  3. Step 3: Cross multiply
    1,635.71x = 2,447.42 × 975.15
  4. Step 4: Simplify right side
    1,635.71x = 2,386,596.74
  5. Step 5: Solve for x
    x = 2,386,596.74/1,635.71
  6. Step 6: Final answer
    x = 1,459.06

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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.