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Finding the Fourth Proportional to 2,477.52, 3,690.46 and 2,346.04

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Solution

The fourth proportional to 2,477.52, 3,690.46 and 2,346.04 is: 3,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.52 : 3,690.46 = 2,346.04 : x
  2. Step 2: Convert to fraction form
    2,477.52/3,690.46 = 2,346.04/x
  3. Step 3: Cross multiply
    2,477.52x = 3,690.46 × 2,346.04
  4. Step 4: Simplify right side
    2,477.52x = 8,657,966.78
  5. Step 5: Solve for x
    x = 8,657,966.78/2,477.52
  6. Step 6: Final answer
    x = 3,494.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.