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Finding the Fourth Proportional to 2,435.67, 3,650.42 and 1,047.35

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Solution

The fourth proportional to 2,435.67, 3,650.42 and 1,047.35 is: 1,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.67 : 3,650.42 = 1,047.35 : x
  2. Step 2: Convert to fraction form
    2,435.67/3,650.42 = 1,047.35/x
  3. Step 3: Cross multiply
    2,435.67x = 3,650.42 × 1,047.35
  4. Step 4: Simplify right side
    2,435.67x = 3,823,279.13
  5. Step 5: Solve for x
    x = 3,823,279.13/2,435.67
  6. Step 6: Final answer
    x = 1,569.70

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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.