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Finding the Fourth Proportional to 2,909.04, 4,014.52 and 1,582.80

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Solution

The fourth proportional to 2,909.04, 4,014.52 and 1,582.80 is: 2,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.04 : 4,014.52 = 1,582.80 : x
  2. Step 2: Convert to fraction form
    2,909.04/4,014.52 = 1,582.80/x
  3. Step 3: Cross multiply
    2,909.04x = 4,014.52 × 1,582.80
  4. Step 4: Simplify right side
    2,909.04x = 6,354,182.26
  5. Step 5: Solve for x
    x = 6,354,182.26/2,909.04
  6. Step 6: Final answer
    x = 2,184.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.