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Finding the Fourth Proportional to 1,426.59, 2,135.77 and 877.14

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Solution

The fourth proportional to 1,426.59, 2,135.77 and 877.14 is: 1,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.59 : 2,135.77 = 877.14 : x
  2. Step 2: Convert to fraction form
    1,426.59/2,135.77 = 877.14/x
  3. Step 3: Cross multiply
    1,426.59x = 2,135.77 × 877.14
  4. Step 4: Simplify right side
    1,426.59x = 1,873,367.10
  5. Step 5: Solve for x
    x = 1,873,367.10/1,426.59
  6. Step 6: Final answer
    x = 1,313.18

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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.