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Finding the Fourth Proportional to 1,541.69, 2,312.38 and 848.13

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Solution

The fourth proportional to 1,541.69, 2,312.38 and 848.13 is: 1,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.69 : 2,312.38 = 848.13 : x
  2. Step 2: Convert to fraction form
    1,541.69/2,312.38 = 848.13/x
  3. Step 3: Cross multiply
    1,541.69x = 2,312.38 × 848.13
  4. Step 4: Simplify right side
    1,541.69x = 1,961,198.85
  5. Step 5: Solve for x
    x = 1,961,198.85/1,541.69
  6. Step 6: Final answer
    x = 1,272.11

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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.