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Finding the Fourth Proportional to 2,701.64, 4,048.99 and 1,312.29

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Solution

The fourth proportional to 2,701.64, 4,048.99 and 1,312.29 is: 1,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.64 : 4,048.99 = 1,312.29 : x
  2. Step 2: Convert to fraction form
    2,701.64/4,048.99 = 1,312.29/x
  3. Step 3: Cross multiply
    2,701.64x = 4,048.99 × 1,312.29
  4. Step 4: Simplify right side
    2,701.64x = 5,313,445.81
  5. Step 5: Solve for x
    x = 5,313,445.81/2,701.64
  6. Step 6: Final answer
    x = 1,966.75

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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.