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Finding the Fourth Proportional to 2,557.52, 3,527.20 and 2,060

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Solution

The fourth proportional to 2,557.52, 3,527.20 and 2,060 is: 2,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.52 : 3,527.20 = 2,060 : x
  2. Step 2: Convert to fraction form
    2,557.52/3,527.20 = 2,060/x
  3. Step 3: Cross multiply
    2,557.52x = 3,527.20 × 2,060
  4. Step 4: Simplify right side
    2,557.52x = 7,266,032
  5. Step 5: Solve for x
    x = 7,266,032/2,557.52
  6. Step 6: Final answer
    x = 2,841.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.