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Finding the Fourth Proportional to 2,582.70, 3,565.04 and 1,534.75

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Solution

The fourth proportional to 2,582.70, 3,565.04 and 1,534.75 is: 2,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.70 : 3,565.04 = 1,534.75 : x
  2. Step 2: Convert to fraction form
    2,582.70/3,565.04 = 1,534.75/x
  3. Step 3: Cross multiply
    2,582.70x = 3,565.04 × 1,534.75
  4. Step 4: Simplify right side
    2,582.70x = 5,471,445.14
  5. Step 5: Solve for x
    x = 5,471,445.14/2,582.70
  6. Step 6: Final answer
    x = 2,118.50

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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.