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Finding the Fourth Proportional to 4,601.58, 6,902.59 and 1,315.16

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Solution

The fourth proportional to 4,601.58, 6,902.59 and 1,315.16 is: 1,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.58 : 6,902.59 = 1,315.16 : x
  2. Step 2: Convert to fraction form
    4,601.58/6,902.59 = 1,315.16/x
  3. Step 3: Cross multiply
    4,601.58x = 6,902.59 × 1,315.16
  4. Step 4: Simplify right side
    4,601.58x = 9,077,975.75
  5. Step 5: Solve for x
    x = 9,077,975.75/4,601.58
  6. Step 6: Final answer
    x = 1,972.80

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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.