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Finding the Fourth Proportional to 1,780.97, 2,659.29 and 1,594.67

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Solution

The fourth proportional to 1,780.97, 2,659.29 and 1,594.67 is: 2,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.97 : 2,659.29 = 1,594.67 : x
  2. Step 2: Convert to fraction form
    1,780.97/2,659.29 = 1,594.67/x
  3. Step 3: Cross multiply
    1,780.97x = 2,659.29 × 1,594.67
  4. Step 4: Simplify right side
    1,780.97x = 4,240,670.71
  5. Step 5: Solve for x
    x = 4,240,670.71/1,780.97
  6. Step 6: Final answer
    x = 2,381.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.