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Finding the Fourth Proportional to 2,312.84, 3,193.04 and 1,529.16

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Solution

The fourth proportional to 2,312.84, 3,193.04 and 1,529.16 is: 2,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.84 : 3,193.04 = 1,529.16 : x
  2. Step 2: Convert to fraction form
    2,312.84/3,193.04 = 1,529.16/x
  3. Step 3: Cross multiply
    2,312.84x = 3,193.04 × 1,529.16
  4. Step 4: Simplify right side
    2,312.84x = 4,882,669.05
  5. Step 5: Solve for x
    x = 4,882,669.05/2,312.84
  6. Step 6: Final answer
    x = 2,111.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.