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Finding the Fourth Proportional to 2,368.94, 3,269.13 and 1,306.68

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Solution

The fourth proportional to 2,368.94, 3,269.13 and 1,306.68 is: 1,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.94 : 3,269.13 = 1,306.68 : x
  2. Step 2: Convert to fraction form
    2,368.94/3,269.13 = 1,306.68/x
  3. Step 3: Cross multiply
    2,368.94x = 3,269.13 × 1,306.68
  4. Step 4: Simplify right side
    2,368.94x = 4,271,706.79
  5. Step 5: Solve for x
    x = 4,271,706.79/2,368.94
  6. Step 6: Final answer
    x = 1,803.21

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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.