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Finding the Fourth Proportional to 1,390.43, 2,088.03 and 1,234.61

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Solution

The fourth proportional to 1,390.43, 2,088.03 and 1,234.61 is: 1,854.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.43 : 2,088.03 = 1,234.61 : x
  2. Step 2: Convert to fraction form
    1,390.43/2,088.03 = 1,234.61/x
  3. Step 3: Cross multiply
    1,390.43x = 2,088.03 × 1,234.61
  4. Step 4: Simplify right side
    1,390.43x = 2,577,886.11
  5. Step 5: Solve for x
    x = 2,577,886.11/1,390.43
  6. Step 6: Final answer
    x = 1,854.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.