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Finding the Fourth Proportional to 1,881.89, 2,594.30 and 1,320.62

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Solution

The fourth proportional to 1,881.89, 2,594.30 and 1,320.62 is: 1,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.89 : 2,594.30 = 1,320.62 : x
  2. Step 2: Convert to fraction form
    1,881.89/2,594.30 = 1,320.62/x
  3. Step 3: Cross multiply
    1,881.89x = 2,594.30 × 1,320.62
  4. Step 4: Simplify right side
    1,881.89x = 3,426,084.47
  5. Step 5: Solve for x
    x = 3,426,084.47/1,881.89
  6. Step 6: Final answer
    x = 1,820.56

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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.