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Finding the Fourth Proportional to 4,374.55, 6,560.91 and 1,602.55

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Solution

The fourth proportional to 4,374.55, 6,560.91 and 1,602.55 is: 2,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.55 : 6,560.91 = 1,602.55 : x
  2. Step 2: Convert to fraction form
    4,374.55/6,560.91 = 1,602.55/x
  3. Step 3: Cross multiply
    4,374.55x = 6,560.91 × 1,602.55
  4. Step 4: Simplify right side
    4,374.55x = 10,514,186.32
  5. Step 5: Solve for x
    x = 10,514,186.32/4,374.55
  6. Step 6: Final answer
    x = 2,403.49

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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.