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Finding the Fourth Proportional to 1,909.68, 2,877.53 and 1,570.61

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Solution

The fourth proportional to 1,909.68, 2,877.53 and 1,570.61 is: 2,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.68 : 2,877.53 = 1,570.61 : x
  2. Step 2: Convert to fraction form
    1,909.68/2,877.53 = 1,570.61/x
  3. Step 3: Cross multiply
    1,909.68x = 2,877.53 × 1,570.61
  4. Step 4: Simplify right side
    1,909.68x = 4,519,477.39
  5. Step 5: Solve for x
    x = 4,519,477.39/1,909.68
  6. Step 6: Final answer
    x = 2,366.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.