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Finding the Fourth Proportional to 2,868.60, 4,301.66 and 1,136

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Solution

The fourth proportional to 2,868.60, 4,301.66 and 1,136 is: 1,703.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.60 : 4,301.66 = 1,136 : x
  2. Step 2: Convert to fraction form
    2,868.60/4,301.66 = 1,136/x
  3. Step 3: Cross multiply
    2,868.60x = 4,301.66 × 1,136
  4. Step 4: Simplify right side
    2,868.60x = 4,886,685.76
  5. Step 5: Solve for x
    x = 4,886,685.76/2,868.60
  6. Step 6: Final answer
    x = 1,703.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.