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Finding the Fourth Proportional to 2,328.60, 3,494.28 and 1,012.08

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Solution

The fourth proportional to 2,328.60, 3,494.28 and 1,012.08 is: 1,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.60 : 3,494.28 = 1,012.08 : x
  2. Step 2: Convert to fraction form
    2,328.60/3,494.28 = 1,012.08/x
  3. Step 3: Cross multiply
    2,328.60x = 3,494.28 × 1,012.08
  4. Step 4: Simplify right side
    2,328.60x = 3,536,490.90
  5. Step 5: Solve for x
    x = 3,536,490.90/2,328.60
  6. Step 6: Final answer
    x = 1,518.72

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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.