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Finding the Fourth Proportional to 1,570.68, 2,166.55 and 1,197

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Solution

The fourth proportional to 1,570.68, 2,166.55 and 1,197 is: 1,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.68 : 2,166.55 = 1,197 : x
  2. Step 2: Convert to fraction form
    1,570.68/2,166.55 = 1,197/x
  3. Step 3: Cross multiply
    1,570.68x = 2,166.55 × 1,197
  4. Step 4: Simplify right side
    1,570.68x = 2,593,360.35
  5. Step 5: Solve for x
    x = 2,593,360.35/1,570.68
  6. Step 6: Final answer
    x = 1,651.11

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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.