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Finding the Fourth Proportional to 2,591.61, 3,886.47 and 947.67

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Solution

The fourth proportional to 2,591.61, 3,886.47 and 947.67 is: 1,421.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.61 : 3,886.47 = 947.67 : x
  2. Step 2: Convert to fraction form
    2,591.61/3,886.47 = 947.67/x
  3. Step 3: Cross multiply
    2,591.61x = 3,886.47 × 947.67
  4. Step 4: Simplify right side
    2,591.61x = 3,683,091.02
  5. Step 5: Solve for x
    x = 3,683,091.02/2,591.61
  6. Step 6: Final answer
    x = 1,421.16

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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.