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Finding the Fourth Proportional to 2,130.42, 3,170.49 and 2,052.66

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Solution

The fourth proportional to 2,130.42, 3,170.49 and 2,052.66 is: 3,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.42 : 3,170.49 = 2,052.66 : x
  2. Step 2: Convert to fraction form
    2,130.42/3,170.49 = 2,052.66/x
  3. Step 3: Cross multiply
    2,130.42x = 3,170.49 × 2,052.66
  4. Step 4: Simplify right side
    2,130.42x = 6,507,938.00
  5. Step 5: Solve for x
    x = 6,507,938.00/2,130.42
  6. Step 6: Final answer
    x = 3,054.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.