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Finding the Fourth Proportional to 1,702.34, 2,565.09 and 1,400.95

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Solution

The fourth proportional to 1,702.34, 2,565.09 and 1,400.95 is: 2,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.34 : 2,565.09 = 1,400.95 : x
  2. Step 2: Convert to fraction form
    1,702.34/2,565.09 = 1,400.95/x
  3. Step 3: Cross multiply
    1,702.34x = 2,565.09 × 1,400.95
  4. Step 4: Simplify right side
    1,702.34x = 3,593,562.84
  5. Step 5: Solve for x
    x = 3,593,562.84/1,702.34
  6. Step 6: Final answer
    x = 2,110.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.