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Finding the Fourth Proportional to 3,050.34, 4,568.24 and 1,565.88

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Solution

The fourth proportional to 3,050.34, 4,568.24 and 1,565.88 is: 2,345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.34 : 4,568.24 = 1,565.88 : x
  2. Step 2: Convert to fraction form
    3,050.34/4,568.24 = 1,565.88/x
  3. Step 3: Cross multiply
    3,050.34x = 4,568.24 × 1,565.88
  4. Step 4: Simplify right side
    3,050.34x = 7,153,315.65
  5. Step 5: Solve for x
    x = 7,153,315.65/3,050.34
  6. Step 6: Final answer
    x = 2,345.09

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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.