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Finding the Fourth Proportional to 1,752.91, 2,417.37 and 1,280.05

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Solution

The fourth proportional to 1,752.91, 2,417.37 and 1,280.05 is: 1,765.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.91 : 2,417.37 = 1,280.05 : x
  2. Step 2: Convert to fraction form
    1,752.91/2,417.37 = 1,280.05/x
  3. Step 3: Cross multiply
    1,752.91x = 2,417.37 × 1,280.05
  4. Step 4: Simplify right side
    1,752.91x = 3,094,354.47
  5. Step 5: Solve for x
    x = 3,094,354.47/1,752.91
  6. Step 6: Final answer
    x = 1,765.27

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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.