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Finding the Fourth Proportional to 2,460.16, 3,674.03 and 2,188

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Solution

The fourth proportional to 2,460.16, 3,674.03 and 2,188 is: 3,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.16 : 3,674.03 = 2,188 : x
  2. Step 2: Convert to fraction form
    2,460.16/3,674.03 = 2,188/x
  3. Step 3: Cross multiply
    2,460.16x = 3,674.03 × 2,188
  4. Step 4: Simplify right side
    2,460.16x = 8,038,777.64
  5. Step 5: Solve for x
    x = 8,038,777.64/2,460.16
  6. Step 6: Final answer
    x = 3,267.58

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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.