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Finding the Fourth Proportional to 1,543.26, 2,313.30 and 848.52

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Solution

The fourth proportional to 1,543.26, 2,313.30 and 848.52 is: 1,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.26 : 2,313.30 = 848.52 : x
  2. Step 2: Convert to fraction form
    1,543.26/2,313.30 = 848.52/x
  3. Step 3: Cross multiply
    1,543.26x = 2,313.30 × 848.52
  4. Step 4: Simplify right side
    1,543.26x = 1,962,881.32
  5. Step 5: Solve for x
    x = 1,962,881.32/1,543.26
  6. Step 6: Final answer
    x = 1,271.91

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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.