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Finding the Fourth Proportional to 2,966.39, 4,450.88 and 1,407.52

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Solution

The fourth proportional to 2,966.39, 4,450.88 and 1,407.52 is: 2,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.39 : 4,450.88 = 1,407.52 : x
  2. Step 2: Convert to fraction form
    2,966.39/4,450.88 = 1,407.52/x
  3. Step 3: Cross multiply
    2,966.39x = 4,450.88 × 1,407.52
  4. Step 4: Simplify right side
    2,966.39x = 6,264,680.36
  5. Step 5: Solve for x
    x = 6,264,680.36/2,966.39
  6. Step 6: Final answer
    x = 2,111.89

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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.