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Finding the Fourth Proportional to 2,296.59, 3,168.16 and 1,499.55

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Solution

The fourth proportional to 2,296.59, 3,168.16 and 1,499.55 is: 2,068.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.59 : 3,168.16 = 1,499.55 : x
  2. Step 2: Convert to fraction form
    2,296.59/3,168.16 = 1,499.55/x
  3. Step 3: Cross multiply
    2,296.59x = 3,168.16 × 1,499.55
  4. Step 4: Simplify right side
    2,296.59x = 4,750,807.13
  5. Step 5: Solve for x
    x = 4,750,807.13/2,296.59
  6. Step 6: Final answer
    x = 2,068.64

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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.