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Finding the Fourth Proportional to 2,946.76, 4,413 and 1,561.30

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Solution

The fourth proportional to 2,946.76, 4,413 and 1,561.30 is: 2,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.76 : 4,413 = 1,561.30 : x
  2. Step 2: Convert to fraction form
    2,946.76/4,413 = 1,561.30/x
  3. Step 3: Cross multiply
    2,946.76x = 4,413 × 1,561.30
  4. Step 4: Simplify right side
    2,946.76x = 6,890,016.90
  5. Step 5: Solve for x
    x = 6,890,016.90/2,946.76
  6. Step 6: Final answer
    x = 2,338.17

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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.