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Finding the Fourth Proportional to 1,710.08, 2,562.95 and 832.79

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Solution

The fourth proportional to 1,710.08, 2,562.95 and 832.79 is: 1,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.08 : 2,562.95 = 832.79 : x
  2. Step 2: Convert to fraction form
    1,710.08/2,562.95 = 832.79/x
  3. Step 3: Cross multiply
    1,710.08x = 2,562.95 × 832.79
  4. Step 4: Simplify right side
    1,710.08x = 2,134,382.15
  5. Step 5: Solve for x
    x = 2,134,382.15/1,710.08
  6. Step 6: Final answer
    x = 1,248.12

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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.