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Finding the Fourth Proportional to 1,337.58, 1,833.84 and 1,312.92

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Solution

The fourth proportional to 1,337.58, 1,833.84 and 1,312.92 is: 1,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.58 : 1,833.84 = 1,312.92 : x
  2. Step 2: Convert to fraction form
    1,337.58/1,833.84 = 1,312.92/x
  3. Step 3: Cross multiply
    1,337.58x = 1,833.84 × 1,312.92
  4. Step 4: Simplify right side
    1,337.58x = 2,407,685.21
  5. Step 5: Solve for x
    x = 2,407,685.21/1,337.58
  6. Step 6: Final answer
    x = 1,800.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.