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Finding the Fourth Proportional to 1,497.08, 2,068.62 and 1,150.76

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Solution

The fourth proportional to 1,497.08, 2,068.62 and 1,150.76 is: 1,590.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.08 : 2,068.62 = 1,150.76 : x
  2. Step 2: Convert to fraction form
    1,497.08/2,068.62 = 1,150.76/x
  3. Step 3: Cross multiply
    1,497.08x = 2,068.62 × 1,150.76
  4. Step 4: Simplify right side
    1,497.08x = 2,380,485.15
  5. Step 5: Solve for x
    x = 2,380,485.15/1,497.08
  6. Step 6: Final answer
    x = 1,590.09

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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.