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Finding the Fourth Proportional to 1,551.29, 2,325.40 and 730.14

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Solution

The fourth proportional to 1,551.29, 2,325.40 and 730.14 is: 1,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.29 : 2,325.40 = 730.14 : x
  2. Step 2: Convert to fraction form
    1,551.29/2,325.40 = 730.14/x
  3. Step 3: Cross multiply
    1,551.29x = 2,325.40 × 730.14
  4. Step 4: Simplify right side
    1,551.29x = 1,697,862.52
  5. Step 5: Solve for x
    x = 1,697,862.52/1,551.29
  6. Step 6: Final answer
    x = 1,094.48

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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.