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Finding the Fourth Proportional to 1,570.95, 2,166.53 and 1,197.04

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Solution

The fourth proportional to 1,570.95, 2,166.53 and 1,197.04 is: 1,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.95 : 2,166.53 = 1,197.04 : x
  2. Step 2: Convert to fraction form
    1,570.95/2,166.53 = 1,197.04/x
  3. Step 3: Cross multiply
    1,570.95x = 2,166.53 × 1,197.04
  4. Step 4: Simplify right side
    1,570.95x = 2,593,411.67
  5. Step 5: Solve for x
    x = 2,593,411.67/1,570.95
  6. Step 6: Final answer
    x = 1,650.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.