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Finding the Fourth Proportional to 1,534.69, 2,302.61 and 918.83

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Solution

The fourth proportional to 1,534.69, 2,302.61 and 918.83 is: 1,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.69 : 2,302.61 = 918.83 : x
  2. Step 2: Convert to fraction form
    1,534.69/2,302.61 = 918.83/x
  3. Step 3: Cross multiply
    1,534.69x = 2,302.61 × 918.83
  4. Step 4: Simplify right side
    1,534.69x = 2,115,707.15
  5. Step 5: Solve for x
    x = 2,115,707.15/1,534.69
  6. Step 6: Final answer
    x = 1,378.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.