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Finding the Fourth Proportional to 1,652.91, 2,281.55 and 1,093.88

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Solution

The fourth proportional to 1,652.91, 2,281.55 and 1,093.88 is: 1,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.91 : 2,281.55 = 1,093.88 : x
  2. Step 2: Convert to fraction form
    1,652.91/2,281.55 = 1,093.88/x
  3. Step 3: Cross multiply
    1,652.91x = 2,281.55 × 1,093.88
  4. Step 4: Simplify right side
    1,652.91x = 2,495,725.04
  5. Step 5: Solve for x
    x = 2,495,725.04/1,652.91
  6. Step 6: Final answer
    x = 1,509.90

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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.