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Finding the Fourth Proportional to 2,494.56, 3,442.08 and 1,904.16

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Solution

The fourth proportional to 2,494.56, 3,442.08 and 1,904.16 is: 2,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.56 : 3,442.08 = 1,904.16 : x
  2. Step 2: Convert to fraction form
    2,494.56/3,442.08 = 1,904.16/x
  3. Step 3: Cross multiply
    2,494.56x = 3,442.08 × 1,904.16
  4. Step 4: Simplify right side
    2,494.56x = 6,554,271.05
  5. Step 5: Solve for x
    x = 6,554,271.05/2,494.56
  6. Step 6: Final answer
    x = 2,627.43

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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.