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Finding the Fourth Proportional to 1,702.67, 2,348.87 and 1,456.63

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Solution

The fourth proportional to 1,702.67, 2,348.87 and 1,456.63 is: 2,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.67 : 2,348.87 = 1,456.63 : x
  2. Step 2: Convert to fraction form
    1,702.67/2,348.87 = 1,456.63/x
  3. Step 3: Cross multiply
    1,702.67x = 2,348.87 × 1,456.63
  4. Step 4: Simplify right side
    1,702.67x = 3,421,432.28
  5. Step 5: Solve for x
    x = 3,421,432.28/1,702.67
  6. Step 6: Final answer
    x = 2,009.46

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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.