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Finding the Fourth Proportional to 2,730.17, 3,767.64 and 1,488.17

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Solution

The fourth proportional to 2,730.17, 3,767.64 and 1,488.17 is: 2,053.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.17 : 3,767.64 = 1,488.17 : x
  2. Step 2: Convert to fraction form
    2,730.17/3,767.64 = 1,488.17/x
  3. Step 3: Cross multiply
    2,730.17x = 3,767.64 × 1,488.17
  4. Step 4: Simplify right side
    2,730.17x = 5,606,888.82
  5. Step 5: Solve for x
    x = 5,606,888.82/2,730.17
  6. Step 6: Final answer
    x = 2,053.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.