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Finding the Fourth Proportional to 1,702.19, 2,540.33 and 1,658.45

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Solution

The fourth proportional to 1,702.19, 2,540.33 and 1,658.45 is: 2,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.19 : 2,540.33 = 1,658.45 : x
  2. Step 2: Convert to fraction form
    1,702.19/2,540.33 = 1,658.45/x
  3. Step 3: Cross multiply
    1,702.19x = 2,540.33 × 1,658.45
  4. Step 4: Simplify right side
    1,702.19x = 4,212,989.29
  5. Step 5: Solve for x
    x = 4,212,989.29/1,702.19
  6. Step 6: Final answer
    x = 2,475.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.