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Finding the Fourth Proportional to 2,106.34, 3,159.51 and 645.49

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Solution

The fourth proportional to 2,106.34, 3,159.51 and 645.49 is: 968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.34 : 3,159.51 = 645.49 : x
  2. Step 2: Convert to fraction form
    2,106.34/3,159.51 = 645.49/x
  3. Step 3: Cross multiply
    2,106.34x = 3,159.51 × 645.49
  4. Step 4: Simplify right side
    2,106.34x = 2,039,432.11
  5. Step 5: Solve for x
    x = 2,039,432.11/2,106.34
  6. Step 6: Final answer
    x = 968.24

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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.