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Finding the Fourth Proportional to 2,356.06, 3,535.31 and 970.42

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Solution

The fourth proportional to 2,356.06, 3,535.31 and 970.42 is: 1,456.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.06 : 3,535.31 = 970.42 : x
  2. Step 2: Convert to fraction form
    2,356.06/3,535.31 = 970.42/x
  3. Step 3: Cross multiply
    2,356.06x = 3,535.31 × 970.42
  4. Step 4: Simplify right side
    2,356.06x = 3,430,730.68
  5. Step 5: Solve for x
    x = 3,430,730.68/2,356.06
  6. Step 6: Final answer
    x = 1,456.13

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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.