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Finding the Fourth Proportional to 2,148.59, 2,964.90 and 1,264.28

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Solution

The fourth proportional to 2,148.59, 2,964.90 and 1,264.28 is: 1,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.59 : 2,964.90 = 1,264.28 : x
  2. Step 2: Convert to fraction form
    2,148.59/2,964.90 = 1,264.28/x
  3. Step 3: Cross multiply
    2,148.59x = 2,964.90 × 1,264.28
  4. Step 4: Simplify right side
    2,148.59x = 3,748,453.69
  5. Step 5: Solve for x
    x = 3,748,453.69/2,148.59
  6. Step 6: Final answer
    x = 1,744.61

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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.