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Finding the Fourth Proportional to 2,846.34, 4,271.11 and 1,547.90

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Solution

The fourth proportional to 2,846.34, 4,271.11 and 1,547.90 is: 2,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.34 : 4,271.11 = 1,547.90 : x
  2. Step 2: Convert to fraction form
    2,846.34/4,271.11 = 1,547.90/x
  3. Step 3: Cross multiply
    2,846.34x = 4,271.11 × 1,547.90
  4. Step 4: Simplify right side
    2,846.34x = 6,611,251.17
  5. Step 5: Solve for x
    x = 6,611,251.17/2,846.34
  6. Step 6: Final answer
    x = 2,322.72

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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.