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Finding the Fourth Proportional to 2,537.63, 3,805.92 and 977.10

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Solution

The fourth proportional to 2,537.63, 3,805.92 and 977.10 is: 1,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.63 : 3,805.92 = 977.10 : x
  2. Step 2: Convert to fraction form
    2,537.63/3,805.92 = 977.10/x
  3. Step 3: Cross multiply
    2,537.63x = 3,805.92 × 977.10
  4. Step 4: Simplify right side
    2,537.63x = 3,718,750.16
  5. Step 5: Solve for x
    x = 3,718,750.16/2,537.63
  6. Step 6: Final answer
    x = 1,465.44

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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.