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Finding the Fourth Proportional to 2,152.74, 3,230.02 and 1,177.70

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Solution

The fourth proportional to 2,152.74, 3,230.02 and 1,177.70 is: 1,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.74 : 3,230.02 = 1,177.70 : x
  2. Step 2: Convert to fraction form
    2,152.74/3,230.02 = 1,177.70/x
  3. Step 3: Cross multiply
    2,152.74x = 3,230.02 × 1,177.70
  4. Step 4: Simplify right side
    2,152.74x = 3,803,994.55
  5. Step 5: Solve for x
    x = 3,803,994.55/2,152.74
  6. Step 6: Final answer
    x = 1,767.05

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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.