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Finding the Fourth Proportional to 2,145.29, 2,959.65 and 1,260.77

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Solution

The fourth proportional to 2,145.29, 2,959.65 and 1,260.77 is: 1,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.29 : 2,959.65 = 1,260.77 : x
  2. Step 2: Convert to fraction form
    2,145.29/2,959.65 = 1,260.77/x
  3. Step 3: Cross multiply
    2,145.29x = 2,959.65 × 1,260.77
  4. Step 4: Simplify right side
    2,145.29x = 3,731,423.13
  5. Step 5: Solve for x
    x = 3,731,423.13/2,145.29
  6. Step 6: Final answer
    x = 1,739.36

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