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Finding the Fourth Proportional to 2,681.83, 3,702.73 and 1,675.07

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Solution

The fourth proportional to 2,681.83, 3,702.73 and 1,675.07 is: 2,312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.83 : 3,702.73 = 1,675.07 : x
  2. Step 2: Convert to fraction form
    2,681.83/3,702.73 = 1,675.07/x
  3. Step 3: Cross multiply
    2,681.83x = 3,702.73 × 1,675.07
  4. Step 4: Simplify right side
    2,681.83x = 6,202,318.50
  5. Step 5: Solve for x
    x = 6,202,318.50/2,681.83
  6. Step 6: Final answer
    x = 2,312.72

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1.5x scale

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.