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Finding the Fourth Proportional to 2,106.94, 3,159.06 and 875.20

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Solution

The fourth proportional to 2,106.94, 3,159.06 and 875.20 is: 1,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.94 : 3,159.06 = 875.20 : x
  2. Step 2: Convert to fraction form
    2,106.94/3,159.06 = 875.20/x
  3. Step 3: Cross multiply
    2,106.94x = 3,159.06 × 875.20
  4. Step 4: Simplify right side
    2,106.94x = 2,764,809.31
  5. Step 5: Solve for x
    x = 2,764,809.31/2,106.94
  6. Step 6: Final answer
    x = 1,312.24

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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.