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Finding the Fourth Proportional to 3,091.23, 4,637.07 and 870.39

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Solution

The fourth proportional to 3,091.23, 4,637.07 and 870.39 is: 1,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.23 : 4,637.07 = 870.39 : x
  2. Step 2: Convert to fraction form
    3,091.23/4,637.07 = 870.39/x
  3. Step 3: Cross multiply
    3,091.23x = 4,637.07 × 870.39
  4. Step 4: Simplify right side
    3,091.23x = 4,036,059.36
  5. Step 5: Solve for x
    x = 4,036,059.36/3,091.23
  6. Step 6: Final answer
    x = 1,305.65

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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.