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Finding the Fourth Proportional to 3,034.01, 4,547.44 and 1,278.64

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Solution

The fourth proportional to 3,034.01, 4,547.44 and 1,278.64 is: 1,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.01 : 4,547.44 = 1,278.64 : x
  2. Step 2: Convert to fraction form
    3,034.01/4,547.44 = 1,278.64/x
  3. Step 3: Cross multiply
    3,034.01x = 4,547.44 × 1,278.64
  4. Step 4: Simplify right side
    3,034.01x = 5,814,520.38
  5. Step 5: Solve for x
    x = 5,814,520.38/3,034.01
  6. Step 6: Final answer
    x = 1,916.45

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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.