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Finding the Fourth Proportional to 1,702.13, 2,348.93 and 1,178.46

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Solution

The fourth proportional to 1,702.13, 2,348.93 and 1,178.46 is: 1,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.13 : 2,348.93 = 1,178.46 : x
  2. Step 2: Convert to fraction form
    1,702.13/2,348.93 = 1,178.46/x
  3. Step 3: Cross multiply
    1,702.13x = 2,348.93 × 1,178.46
  4. Step 4: Simplify right side
    1,702.13x = 2,768,122.99
  5. Step 5: Solve for x
    x = 2,768,122.99/1,702.13
  6. Step 6: Final answer
    x = 1,626.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.