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Finding the Fourth Proportional to 1,666.38, 2,498.18 and 971.32

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Solution

The fourth proportional to 1,666.38, 2,498.18 and 971.32 is: 1,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.38 : 2,498.18 = 971.32 : x
  2. Step 2: Convert to fraction form
    1,666.38/2,498.18 = 971.32/x
  3. Step 3: Cross multiply
    1,666.38x = 2,498.18 × 971.32
  4. Step 4: Simplify right side
    1,666.38x = 2,426,532.20
  5. Step 5: Solve for x
    x = 2,426,532.20/1,666.38
  6. Step 6: Final answer
    x = 1,456.17

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