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Finding the Fourth Proportional to 2,507.85, 3,460.92 and 1,388.85

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Solution

The fourth proportional to 2,507.85, 3,460.92 and 1,388.85 is: 1,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.85 : 3,460.92 = 1,388.85 : x
  2. Step 2: Convert to fraction form
    2,507.85/3,460.92 = 1,388.85/x
  3. Step 3: Cross multiply
    2,507.85x = 3,460.92 × 1,388.85
  4. Step 4: Simplify right side
    2,507.85x = 4,806,698.74
  5. Step 5: Solve for x
    x = 4,806,698.74/2,507.85
  6. Step 6: Final answer
    x = 1,916.66

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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.