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Finding the Fourth Proportional to 1,567.54, 2,337.62 and 1,337.86

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Solution

The fourth proportional to 1,567.54, 2,337.62 and 1,337.86 is: 1,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.54 : 2,337.62 = 1,337.86 : x
  2. Step 2: Convert to fraction form
    1,567.54/2,337.62 = 1,337.86/x
  3. Step 3: Cross multiply
    1,567.54x = 2,337.62 × 1,337.86
  4. Step 4: Simplify right side
    1,567.54x = 3,127,408.29
  5. Step 5: Solve for x
    x = 3,127,408.29/1,567.54
  6. Step 6: Final answer
    x = 1,995.11

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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.