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Finding the Fourth Proportional to 2,011.02, 3,015.36 and 970.17

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Solution

The fourth proportional to 2,011.02, 3,015.36 and 970.17 is: 1,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.02 : 3,015.36 = 970.17 : x
  2. Step 2: Convert to fraction form
    2,011.02/3,015.36 = 970.17/x
  3. Step 3: Cross multiply
    2,011.02x = 3,015.36 × 970.17
  4. Step 4: Simplify right side
    2,011.02x = 2,925,411.81
  5. Step 5: Solve for x
    x = 2,925,411.81/2,011.02
  6. Step 6: Final answer
    x = 1,454.69

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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.