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Finding the Fourth Proportional to 2,473.92, 3,707.04 and 1,560

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Solution

The fourth proportional to 2,473.92, 3,707.04 and 1,560 is: 2,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.92 : 3,707.04 = 1,560 : x
  2. Step 2: Convert to fraction form
    2,473.92/3,707.04 = 1,560/x
  3. Step 3: Cross multiply
    2,473.92x = 3,707.04 × 1,560
  4. Step 4: Simplify right side
    2,473.92x = 5,782,982.40
  5. Step 5: Solve for x
    x = 5,782,982.40/2,473.92
  6. Step 6: Final answer
    x = 2,337.58

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Why These Related Problems?

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