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Finding the Fourth Proportional to 1,909.90, 2,870.59 and 1,583

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Solution

The fourth proportional to 1,909.90, 2,870.59 and 1,583 is: 2,379.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.90 : 2,870.59 = 1,583 : x
  2. Step 2: Convert to fraction form
    1,909.90/2,870.59 = 1,583/x
  3. Step 3: Cross multiply
    1,909.90x = 2,870.59 × 1,583
  4. Step 4: Simplify right side
    1,909.90x = 4,544,143.97
  5. Step 5: Solve for x
    x = 4,544,143.97/1,909.90
  6. Step 6: Final answer
    x = 2,379.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.