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Finding the Fourth Proportional to 1,207.58, 1,802.72 and 1,154.39

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Solution

The fourth proportional to 1,207.58, 1,802.72 and 1,154.39 is: 1,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.58 : 1,802.72 = 1,154.39 : x
  2. Step 2: Convert to fraction form
    1,207.58/1,802.72 = 1,154.39/x
  3. Step 3: Cross multiply
    1,207.58x = 1,802.72 × 1,154.39
  4. Step 4: Simplify right side
    1,207.58x = 2,081,040.68
  5. Step 5: Solve for x
    x = 2,081,040.68/1,207.58
  6. Step 6: Final answer
    x = 1,723.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.