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Finding the Fourth Proportional to 1,567.59, 2,350.79 and 836.76

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Solution

The fourth proportional to 1,567.59, 2,350.79 and 836.76 is: 1,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.59 : 2,350.79 = 836.76 : x
  2. Step 2: Convert to fraction form
    1,567.59/2,350.79 = 836.76/x
  3. Step 3: Cross multiply
    1,567.59x = 2,350.79 × 836.76
  4. Step 4: Simplify right side
    1,567.59x = 1,967,042.86
  5. Step 5: Solve for x
    x = 1,967,042.86/1,567.59
  6. Step 6: Final answer
    x = 1,254.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.