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Finding the Fourth Proportional to 2,666.13, 4,000.63 and 1,298.13

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Solution

The fourth proportional to 2,666.13, 4,000.63 and 1,298.13 is: 1,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.13 : 4,000.63 = 1,298.13 : x
  2. Step 2: Convert to fraction form
    2,666.13/4,000.63 = 1,298.13/x
  3. Step 3: Cross multiply
    2,666.13x = 4,000.63 × 1,298.13
  4. Step 4: Simplify right side
    2,666.13x = 5,193,337.82
  5. Step 5: Solve for x
    x = 5,193,337.82/2,666.13
  6. Step 6: Final answer
    x = 1,947.89

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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.