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Finding the Fourth Proportional to 2,130.52, 2,944.20 and 1,737.40

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Solution

The fourth proportional to 2,130.52, 2,944.20 and 1,737.40 is: 2,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.52 : 2,944.20 = 1,737.40 : x
  2. Step 2: Convert to fraction form
    2,130.52/2,944.20 = 1,737.40/x
  3. Step 3: Cross multiply
    2,130.52x = 2,944.20 × 1,737.40
  4. Step 4: Simplify right side
    2,130.52x = 5,115,253.08
  5. Step 5: Solve for x
    x = 5,115,253.08/2,130.52
  6. Step 6: Final answer
    x = 2,400.94

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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.