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Finding the Fourth Proportional to 1,730.67, 2,387.61 and 1,207.01

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Solution

The fourth proportional to 1,730.67, 2,387.61 and 1,207.01 is: 1,665.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.67 : 2,387.61 = 1,207.01 : x
  2. Step 2: Convert to fraction form
    1,730.67/2,387.61 = 1,207.01/x
  3. Step 3: Cross multiply
    1,730.67x = 2,387.61 × 1,207.01
  4. Step 4: Simplify right side
    1,730.67x = 2,881,857.21
  5. Step 5: Solve for x
    x = 2,881,857.21/1,730.67
  6. Step 6: Final answer
    x = 1,665.17

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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.