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Finding the Fourth Proportional to 2,972.66, 4,458.36 and 1,025

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Solution

The fourth proportional to 2,972.66, 4,458.36 and 1,025 is: 1,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.66 : 4,458.36 = 1,025 : x
  2. Step 2: Convert to fraction form
    2,972.66/4,458.36 = 1,025/x
  3. Step 3: Cross multiply
    2,972.66x = 4,458.36 × 1,025
  4. Step 4: Simplify right side
    2,972.66x = 4,569,819
  5. Step 5: Solve for x
    x = 4,569,819/2,972.66
  6. Step 6: Final answer
    x = 1,537.28

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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.