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Finding the Fourth Proportional to 2,677.74, 3,695.16 and 1,482.64

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Solution

The fourth proportional to 2,677.74, 3,695.16 and 1,482.64 is: 2,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.74 : 3,695.16 = 1,482.64 : x
  2. Step 2: Convert to fraction form
    2,677.74/3,695.16 = 1,482.64/x
  3. Step 3: Cross multiply
    2,677.74x = 3,695.16 × 1,482.64
  4. Step 4: Simplify right side
    2,677.74x = 5,478,588.32
  5. Step 5: Solve for x
    x = 5,478,588.32/2,677.74
  6. Step 6: Final answer
    x = 2,045.97

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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.