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Finding the Fourth Proportional to 2,101.60, 2,900.22 and 1,170.10

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Solution

The fourth proportional to 2,101.60, 2,900.22 and 1,170.10 is: 1,614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.60 : 2,900.22 = 1,170.10 : x
  2. Step 2: Convert to fraction form
    2,101.60/2,900.22 = 1,170.10/x
  3. Step 3: Cross multiply
    2,101.60x = 2,900.22 × 1,170.10
  4. Step 4: Simplify right side
    2,101.60x = 3,393,547.42
  5. Step 5: Solve for x
    x = 3,393,547.42/2,101.60
  6. Step 6: Final answer
    x = 1,614.74

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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.