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Finding the Fourth Proportional to 2,369.56, 3,269.80 and 1,374.76

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Solution

The fourth proportional to 2,369.56, 3,269.80 and 1,374.76 is: 1,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.56 : 3,269.80 = 1,374.76 : x
  2. Step 2: Convert to fraction form
    2,369.56/3,269.80 = 1,374.76/x
  3. Step 3: Cross multiply
    2,369.56x = 3,269.80 × 1,374.76
  4. Step 4: Simplify right side
    2,369.56x = 4,495,190.25
  5. Step 5: Solve for x
    x = 4,495,190.25/2,369.56
  6. Step 6: Final answer
    x = 1,897.06

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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.