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Finding the Fourth Proportional to 1,578.55, 2,368.51 and 847.27

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Solution

The fourth proportional to 1,578.55, 2,368.51 and 847.27 is: 1,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.55 : 2,368.51 = 847.27 : x
  2. Step 2: Convert to fraction form
    1,578.55/2,368.51 = 847.27/x
  3. Step 3: Cross multiply
    1,578.55x = 2,368.51 × 847.27
  4. Step 4: Simplify right side
    1,578.55x = 2,006,767.78
  5. Step 5: Solve for x
    x = 2,006,767.78/1,578.55
  6. Step 6: Final answer
    x = 1,271.27

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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.