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Finding the Fourth Proportional to 2,356.89, 3,535.74 and 970.98

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Solution

The fourth proportional to 2,356.89, 3,535.74 and 970.98 is: 1,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.89 : 3,535.74 = 970.98 : x
  2. Step 2: Convert to fraction form
    2,356.89/3,535.74 = 970.98/x
  3. Step 3: Cross multiply
    2,356.89x = 3,535.74 × 970.98
  4. Step 4: Simplify right side
    2,356.89x = 3,433,132.83
  5. Step 5: Solve for x
    x = 3,433,132.83/2,356.89
  6. Step 6: Final answer
    x = 1,456.64

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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.