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Finding the Fourth Proportional to 4,044.40, 6,065.40 and 1,577.80

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Solution

The fourth proportional to 4,044.40, 6,065.40 and 1,577.80 is: 2,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.40 : 6,065.40 = 1,577.80 : x
  2. Step 2: Convert to fraction form
    4,044.40/6,065.40 = 1,577.80/x
  3. Step 3: Cross multiply
    4,044.40x = 6,065.40 × 1,577.80
  4. Step 4: Simplify right side
    4,044.40x = 9,569,988.12
  5. Step 5: Solve for x
    x = 9,569,988.12/4,044.40
  6. Step 6: Final answer
    x = 2,366.23

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1.5x scale

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.