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Finding the Fourth Proportional to 2,011.60, 3,013.88 and 970.16

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Solution

The fourth proportional to 2,011.60, 3,013.88 and 970.16 is: 1,453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.60 : 3,013.88 = 970.16 : x
  2. Step 2: Convert to fraction form
    2,011.60/3,013.88 = 970.16/x
  3. Step 3: Cross multiply
    2,011.60x = 3,013.88 × 970.16
  4. Step 4: Simplify right side
    2,011.60x = 2,923,945.82
  5. Step 5: Solve for x
    x = 2,923,945.82/2,011.60
  6. Step 6: Final answer
    x = 1,453.54

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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.