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Finding the Fourth Proportional to 2,538.54, 3,805.38 and 977.40

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Solution

The fourth proportional to 2,538.54, 3,805.38 and 977.40 is: 1,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.54 : 3,805.38 = 977.40 : x
  2. Step 2: Convert to fraction form
    2,538.54/3,805.38 = 977.40/x
  3. Step 3: Cross multiply
    2,538.54x = 3,805.38 × 977.40
  4. Step 4: Simplify right side
    2,538.54x = 3,719,378.41
  5. Step 5: Solve for x
    x = 3,719,378.41/2,538.54
  6. Step 6: Final answer
    x = 1,465.16

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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.