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Finding the Fourth Proportional to 1,739.59, 2,400.74 and 1,031.86

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Solution

The fourth proportional to 1,739.59, 2,400.74 and 1,031.86 is: 1,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.59 : 2,400.74 = 1,031.86 : x
  2. Step 2: Convert to fraction form
    1,739.59/2,400.74 = 1,031.86/x
  3. Step 3: Cross multiply
    1,739.59x = 2,400.74 × 1,031.86
  4. Step 4: Simplify right side
    1,739.59x = 2,477,210.41
  5. Step 5: Solve for x
    x = 2,477,210.41/1,739.59
  6. Step 6: Final answer
    x = 1,424.02

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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.