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Finding the Fourth Proportional to 2,702.66, 3,746.68 and 2,554.84

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Solution

The fourth proportional to 2,702.66, 3,746.68 and 2,554.84 is: 3,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.66 : 3,746.68 = 2,554.84 : x
  2. Step 2: Convert to fraction form
    2,702.66/3,746.68 = 2,554.84/x
  3. Step 3: Cross multiply
    2,702.66x = 3,746.68 × 2,554.84
  4. Step 4: Simplify right side
    2,702.66x = 9,572,167.93
  5. Step 5: Solve for x
    x = 9,572,167.93/2,702.66
  6. Step 6: Final answer
    x = 3,541.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.