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Finding the Fourth Proportional to 2,495.18, 3,740.54 and 1,033.40

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Solution

The fourth proportional to 2,495.18, 3,740.54 and 1,033.40 is: 1,549.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.18 : 3,740.54 = 1,033.40 : x
  2. Step 2: Convert to fraction form
    2,495.18/3,740.54 = 1,033.40/x
  3. Step 3: Cross multiply
    2,495.18x = 3,740.54 × 1,033.40
  4. Step 4: Simplify right side
    2,495.18x = 3,865,474.04
  5. Step 5: Solve for x
    x = 3,865,474.04/2,495.18
  6. Step 6: Final answer
    x = 1,549.18

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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.