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Finding the Fourth Proportional to 2,784.92, 4,177.40 and 1,140.32

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Solution

The fourth proportional to 2,784.92, 4,177.40 and 1,140.32 is: 1,710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.92 : 4,177.40 = 1,140.32 : x
  2. Step 2: Convert to fraction form
    2,784.92/4,177.40 = 1,140.32/x
  3. Step 3: Cross multiply
    2,784.92x = 4,177.40 × 1,140.32
  4. Step 4: Simplify right side
    2,784.92x = 4,763,572.77
  5. Step 5: Solve for x
    x = 4,763,572.77/2,784.92
  6. Step 6: Final answer
    x = 1,710.49

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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.