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Finding the Fourth Proportional to 2,430.56, 3,644.93 and 870.14

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Solution

The fourth proportional to 2,430.56, 3,644.93 and 870.14 is: 1,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.56 : 3,644.93 = 870.14 : x
  2. Step 2: Convert to fraction form
    2,430.56/3,644.93 = 870.14/x
  3. Step 3: Cross multiply
    2,430.56x = 3,644.93 × 870.14
  4. Step 4: Simplify right side
    2,430.56x = 3,171,576.81
  5. Step 5: Solve for x
    x = 3,171,576.81/2,430.56
  6. Step 6: Final answer
    x = 1,304.88

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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.