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Finding the Fourth Proportional to 2,042.70, 2,817.12 and 1,594.68

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Solution

The fourth proportional to 2,042.70, 2,817.12 and 1,594.68 is: 2,199.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.70 : 2,817.12 = 1,594.68 : x
  2. Step 2: Convert to fraction form
    2,042.70/2,817.12 = 1,594.68/x
  3. Step 3: Cross multiply
    2,042.70x = 2,817.12 × 1,594.68
  4. Step 4: Simplify right side
    2,042.70x = 4,492,404.92
  5. Step 5: Solve for x
    x = 4,492,404.92/2,042.70
  6. Step 6: Final answer
    x = 2,199.25

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1.5x scale

Why These Related Problems?

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