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Finding the Fourth Proportional to 2,870.65, 4,306.07 and 1,021.74

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Solution

The fourth proportional to 2,870.65, 4,306.07 and 1,021.74 is: 1,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.65 : 4,306.07 = 1,021.74 : x
  2. Step 2: Convert to fraction form
    2,870.65/4,306.07 = 1,021.74/x
  3. Step 3: Cross multiply
    2,870.65x = 4,306.07 × 1,021.74
  4. Step 4: Simplify right side
    2,870.65x = 4,399,683.96
  5. Step 5: Solve for x
    x = 4,399,683.96/2,870.65
  6. Step 6: Final answer
    x = 1,532.64

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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.