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Finding the Fourth Proportional to 1,378.29, 2,070.17 and 858.58

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Solution

The fourth proportional to 1,378.29, 2,070.17 and 858.58 is: 1,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.29 : 2,070.17 = 858.58 : x
  2. Step 2: Convert to fraction form
    1,378.29/2,070.17 = 858.58/x
  3. Step 3: Cross multiply
    1,378.29x = 2,070.17 × 858.58
  4. Step 4: Simplify right side
    1,378.29x = 1,777,403.53
  5. Step 5: Solve for x
    x = 1,777,403.53/1,378.29
  6. Step 6: Final answer
    x = 1,289.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.