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Finding the Fourth Proportional to 4,690.98, 7,034.45 and 1,402.92

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Solution

The fourth proportional to 4,690.98, 7,034.45 and 1,402.92 is: 2,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.98 : 7,034.45 = 1,402.92 : x
  2. Step 2: Convert to fraction form
    4,690.98/7,034.45 = 1,402.92/x
  3. Step 3: Cross multiply
    4,690.98x = 7,034.45 × 1,402.92
  4. Step 4: Simplify right side
    4,690.98x = 9,868,763.58
  5. Step 5: Solve for x
    x = 9,868,763.58/4,690.98
  6. Step 6: Final answer
    x = 2,103.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.