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Finding the Fourth Proportional to 1,873.84, 2,807.14 and 1,049.61

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Solution

The fourth proportional to 1,873.84, 2,807.14 and 1,049.61 is: 1,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.84 : 2,807.14 = 1,049.61 : x
  2. Step 2: Convert to fraction form
    1,873.84/2,807.14 = 1,049.61/x
  3. Step 3: Cross multiply
    1,873.84x = 2,807.14 × 1,049.61
  4. Step 4: Simplify right side
    1,873.84x = 2,946,402.22
  5. Step 5: Solve for x
    x = 2,946,402.22/1,873.84
  6. Step 6: Final answer
    x = 1,572.39

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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.