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Finding the Fourth Proportional to 2,460.85, 3,393.97 and 2,089.06

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Solution

The fourth proportional to 2,460.85, 3,393.97 and 2,089.06 is: 2,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.85 : 3,393.97 = 2,089.06 : x
  2. Step 2: Convert to fraction form
    2,460.85/3,393.97 = 2,089.06/x
  3. Step 3: Cross multiply
    2,460.85x = 3,393.97 × 2,089.06
  4. Step 4: Simplify right side
    2,460.85x = 7,090,193.26
  5. Step 5: Solve for x
    x = 7,090,193.26/2,460.85
  6. Step 6: Final answer
    x = 2,881.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.