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Finding the Fourth Proportional to 2,230.29, 3,345.45 and 586.70

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Solution

The fourth proportional to 2,230.29, 3,345.45 and 586.70 is: 880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.29 : 3,345.45 = 586.70 : x
  2. Step 2: Convert to fraction form
    2,230.29/3,345.45 = 586.70/x
  3. Step 3: Cross multiply
    2,230.29x = 3,345.45 × 586.70
  4. Step 4: Simplify right side
    2,230.29x = 1,962,775.52
  5. Step 5: Solve for x
    x = 1,962,775.52/2,230.29
  6. Step 6: Final answer
    x = 880.05

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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.