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Finding the Fourth Proportional to 2,140.32, 3,210.47 and 753.49

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Solution

The fourth proportional to 2,140.32, 3,210.47 and 753.49 is: 1,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.32 : 3,210.47 = 753.49 : x
  2. Step 2: Convert to fraction form
    2,140.32/3,210.47 = 753.49/x
  3. Step 3: Cross multiply
    2,140.32x = 3,210.47 × 753.49
  4. Step 4: Simplify right side
    2,140.32x = 2,419,072.32
  5. Step 5: Solve for x
    x = 2,419,072.32/2,140.32
  6. Step 6: Final answer
    x = 1,130.24

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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.