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Finding the Fourth Proportional to 2,368.96, 3,269.12 and 1,706.49

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Solution

The fourth proportional to 2,368.96, 3,269.12 and 1,706.49 is: 2,354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.96 : 3,269.12 = 1,706.49 : x
  2. Step 2: Convert to fraction form
    2,368.96/3,269.12 = 1,706.49/x
  3. Step 3: Cross multiply
    2,368.96x = 3,269.12 × 1,706.49
  4. Step 4: Simplify right side
    2,368.96x = 5,578,712.06
  5. Step 5: Solve for x
    x = 5,578,712.06/2,368.96
  6. Step 6: Final answer
    x = 2,354.92

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1.5x scale

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.