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Finding the Fourth Proportional to 2,670.71, 4,005.05 and 1,283.72

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Solution

The fourth proportional to 2,670.71, 4,005.05 and 1,283.72 is: 1,925.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.71 : 4,005.05 = 1,283.72 : x
  2. Step 2: Convert to fraction form
    2,670.71/4,005.05 = 1,283.72/x
  3. Step 3: Cross multiply
    2,670.71x = 4,005.05 × 1,283.72
  4. Step 4: Simplify right side
    2,670.71x = 5,141,336.34
  5. Step 5: Solve for x
    x = 5,141,336.34/2,670.71
  6. Step 6: Final answer
    x = 1,925.09

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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.