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Finding the Fourth Proportional to 2,359.05, 3,535.51 and 970.81

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Solution

The fourth proportional to 2,359.05, 3,535.51 and 970.81 is: 1,454.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.05 : 3,535.51 = 970.81 : x
  2. Step 2: Convert to fraction form
    2,359.05/3,535.51 = 970.81/x
  3. Step 3: Cross multiply
    2,359.05x = 3,535.51 × 970.81
  4. Step 4: Simplify right side
    2,359.05x = 3,432,308.46
  5. Step 5: Solve for x
    x = 3,432,308.46/2,359.05
  6. Step 6: Final answer
    x = 1,454.95

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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.