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Finding the Fourth Proportional to 2,329.16, 3,495.15 and 1,549.73

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Solution

The fourth proportional to 2,329.16, 3,495.15 and 1,549.73 is: 2,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.16 : 3,495.15 = 1,549.73 : x
  2. Step 2: Convert to fraction form
    2,329.16/3,495.15 = 1,549.73/x
  3. Step 3: Cross multiply
    2,329.16x = 3,495.15 × 1,549.73
  4. Step 4: Simplify right side
    2,329.16x = 5,416,547.55
  5. Step 5: Solve for x
    x = 5,416,547.55/2,329.16
  6. Step 6: Final answer
    x = 2,325.54

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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.