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Finding the Fourth Proportional to 2,364.24, 3,543.26 and 1,047.54

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Solution

The fourth proportional to 2,364.24, 3,543.26 and 1,047.54 is: 1,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.24 : 3,543.26 = 1,047.54 : x
  2. Step 2: Convert to fraction form
    2,364.24/3,543.26 = 1,047.54/x
  3. Step 3: Cross multiply
    2,364.24x = 3,543.26 × 1,047.54
  4. Step 4: Simplify right side
    2,364.24x = 3,711,701.34
  5. Step 5: Solve for x
    x = 3,711,701.34/2,364.24
  6. Step 6: Final answer
    x = 1,569.93

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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.