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Finding the Fourth Proportional to 1,739.37, 2,613.05 and 1,124.28

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Solution

The fourth proportional to 1,739.37, 2,613.05 and 1,124.28 is: 1,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.37 : 2,613.05 = 1,124.28 : x
  2. Step 2: Convert to fraction form
    1,739.37/2,613.05 = 1,124.28/x
  3. Step 3: Cross multiply
    1,739.37x = 2,613.05 × 1,124.28
  4. Step 4: Simplify right side
    1,739.37x = 2,937,799.85
  5. Step 5: Solve for x
    x = 2,937,799.85/1,739.37
  6. Step 6: Final answer
    x = 1,689.00

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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.