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Finding the Fourth Proportional to 2,312.46, 3,448.67 and 2,052.18

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Solution

The fourth proportional to 2,312.46, 3,448.67 and 2,052.18 is: 3,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.46 : 3,448.67 = 2,052.18 : x
  2. Step 2: Convert to fraction form
    2,312.46/3,448.67 = 2,052.18/x
  3. Step 3: Cross multiply
    2,312.46x = 3,448.67 × 2,052.18
  4. Step 4: Simplify right side
    2,312.46x = 7,077,281.34
  5. Step 5: Solve for x
    x = 7,077,281.34/2,312.46
  6. Step 6: Final answer
    x = 3,060.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.