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Finding the Fourth Proportional to 1,885.68, 2,602.25 and 1,046.40

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Solution

The fourth proportional to 1,885.68, 2,602.25 and 1,046.40 is: 1,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.68 : 2,602.25 = 1,046.40 : x
  2. Step 2: Convert to fraction form
    1,885.68/2,602.25 = 1,046.40/x
  3. Step 3: Cross multiply
    1,885.68x = 2,602.25 × 1,046.40
  4. Step 4: Simplify right side
    1,885.68x = 2,722,989.17
  5. Step 5: Solve for x
    x = 2,722,989.17/1,885.68
  6. Step 6: Final answer
    x = 1,444.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.