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Finding the Fourth Proportional to 1,570.08, 2,366.14 and 1,414.08

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Solution

The fourth proportional to 1,570.08, 2,366.14 and 1,414.08 is: 2,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.08 : 2,366.14 = 1,414.08 : x
  2. Step 2: Convert to fraction form
    1,570.08/2,366.14 = 1,414.08/x
  3. Step 3: Cross multiply
    1,570.08x = 2,366.14 × 1,414.08
  4. Step 4: Simplify right side
    1,570.08x = 3,345,911.25
  5. Step 5: Solve for x
    x = 3,345,911.25/1,570.08
  6. Step 6: Final answer
    x = 2,131.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.