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Finding the Fourth Proportional to 2,677.64, 3,695.12 and 1,498.68

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Solution

The fourth proportional to 2,677.64, 3,695.12 and 1,498.68 is: 2,068.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.64 : 3,695.12 = 1,498.68 : x
  2. Step 2: Convert to fraction form
    2,677.64/3,695.12 = 1,498.68/x
  3. Step 3: Cross multiply
    2,677.64x = 3,695.12 × 1,498.68
  4. Step 4: Simplify right side
    2,677.64x = 5,537,802.44
  5. Step 5: Solve for x
    x = 5,537,802.44/2,677.64
  6. Step 6: Final answer
    x = 2,068.17

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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.