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Finding the Fourth Proportional to 2,565.12, 3,539.61 and 1,570.68

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Solution

The fourth proportional to 2,565.12, 3,539.61 and 1,570.68 is: 2,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.12 : 3,539.61 = 1,570.68 : x
  2. Step 2: Convert to fraction form
    2,565.12/3,539.61 = 1,570.68/x
  3. Step 3: Cross multiply
    2,565.12x = 3,539.61 × 1,570.68
  4. Step 4: Simplify right side
    2,565.12x = 5,559,594.63
  5. Step 5: Solve for x
    x = 5,559,594.63/2,565.12
  6. Step 6: Final answer
    x = 2,167.38

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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.