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Finding the Fourth Proportional to 2,866.16, 3,946.47 and 2,510.03

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Solution

The fourth proportional to 2,866.16, 3,946.47 and 2,510.03 is: 3,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.16 : 3,946.47 = 2,510.03 : x
  2. Step 2: Convert to fraction form
    2,866.16/3,946.47 = 2,510.03/x
  3. Step 3: Cross multiply
    2,866.16x = 3,946.47 × 2,510.03
  4. Step 4: Simplify right side
    2,866.16x = 9,905,738.36
  5. Step 5: Solve for x
    x = 9,905,738.36/2,866.16
  6. Step 6: Final answer
    x = 3,456.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.