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Finding the Fourth Proportional to 3,312.71, 4,969.07 and 1,576.07

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Solution

The fourth proportional to 3,312.71, 4,969.07 and 1,576.07 is: 2,364.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.71 : 4,969.07 = 1,576.07 : x
  2. Step 2: Convert to fraction form
    3,312.71/4,969.07 = 1,576.07/x
  3. Step 3: Cross multiply
    3,312.71x = 4,969.07 × 1,576.07
  4. Step 4: Simplify right side
    3,312.71x = 7,831,594.27
  5. Step 5: Solve for x
    x = 7,831,594.27/3,312.71
  6. Step 6: Final answer
    x = 2,364.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.