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Finding the Fourth Proportional to 1,758.00, 2,425.82 and 972.04

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Solution

The fourth proportional to 1,758.00, 2,425.82 and 972.04 is: 1,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.00 : 2,425.82 = 972.04 : x
  2. Step 2: Convert to fraction form
    1,758.00/2,425.82 = 972.04/x
  3. Step 3: Cross multiply
    1,758.00x = 2,425.82 × 972.04
  4. Step 4: Simplify right side
    1,758.00x = 2,357,989.21
  5. Step 5: Solve for x
    x = 2,357,989.21/1,758.00
  6. Step 6: Final answer
    x = 1,341.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.