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Finding the Fourth Proportional to 1,702.68, 2,554.53 and 1,408.85

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Solution

The fourth proportional to 1,702.68, 2,554.53 and 1,408.85 is: 2,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.68 : 2,554.53 = 1,408.85 : x
  2. Step 2: Convert to fraction form
    1,702.68/2,554.53 = 1,408.85/x
  3. Step 3: Cross multiply
    1,702.68x = 2,554.53 × 1,408.85
  4. Step 4: Simplify right side
    1,702.68x = 3,598,941.11
  5. Step 5: Solve for x
    x = 3,598,941.11/1,702.68
  6. Step 6: Final answer
    x = 2,113.70

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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.