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Finding the Fourth Proportional to 2,124.30, 3,184.63 and 807.32

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Solution

The fourth proportional to 2,124.30, 3,184.63 and 807.32 is: 1,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.30 : 3,184.63 = 807.32 : x
  2. Step 2: Convert to fraction form
    2,124.30/3,184.63 = 807.32/x
  3. Step 3: Cross multiply
    2,124.30x = 3,184.63 × 807.32
  4. Step 4: Simplify right side
    2,124.30x = 2,571,015.49
  5. Step 5: Solve for x
    x = 2,571,015.49/2,124.30
  6. Step 6: Final answer
    x = 1,210.29

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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.