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Finding the Fourth Proportional to 2,581.95, 3,564.57 and 1,700.32

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Solution

The fourth proportional to 2,581.95, 3,564.57 and 1,700.32 is: 2,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.95 : 3,564.57 = 1,700.32 : x
  2. Step 2: Convert to fraction form
    2,581.95/3,564.57 = 1,700.32/x
  3. Step 3: Cross multiply
    2,581.95x = 3,564.57 × 1,700.32
  4. Step 4: Simplify right side
    2,581.95x = 6,060,909.66
  5. Step 5: Solve for x
    x = 6,060,909.66/2,581.95
  6. Step 6: Final answer
    x = 2,347.42

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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.