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Finding the Fourth Proportional to 1,578.38, 2,368.04 and 701.10

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Solution

The fourth proportional to 1,578.38, 2,368.04 and 701.10 is: 1,051.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.38 : 2,368.04 = 701.10 : x
  2. Step 2: Convert to fraction form
    1,578.38/2,368.04 = 701.10/x
  3. Step 3: Cross multiply
    1,578.38x = 2,368.04 × 701.10
  4. Step 4: Simplify right side
    1,578.38x = 1,660,229.34
  5. Step 5: Solve for x
    x = 1,660,229.34/1,578.38
  6. Step 6: Final answer
    x = 1,051.86

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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.