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Finding the Fourth Proportional to 2,403, 3,605.64 and 1,377

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Solution

The fourth proportional to 2,403, 3,605.64 and 1,377 is: 2,066.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403 : 3,605.64 = 1,377 : x
  2. Step 2: Convert to fraction form
    2,403/3,605.64 = 1,377/x
  3. Step 3: Cross multiply
    2,403x = 3,605.64 × 1,377
  4. Step 4: Simplify right side
    2,403x = 4,964,966.28
  5. Step 5: Solve for x
    x = 4,964,966.28/2,403
  6. Step 6: Final answer
    x = 2,066.15

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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.