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Finding the Fourth Proportional to 1,595.68, 2,203.13 and 1,222

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Solution

The fourth proportional to 1,595.68, 2,203.13 and 1,222 is: 1,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.68 : 2,203.13 = 1,222 : x
  2. Step 2: Convert to fraction form
    1,595.68/2,203.13 = 1,222/x
  3. Step 3: Cross multiply
    1,595.68x = 2,203.13 × 1,222
  4. Step 4: Simplify right side
    1,595.68x = 2,692,224.86
  5. Step 5: Solve for x
    x = 2,692,224.86/1,595.68
  6. Step 6: Final answer
    x = 1,687.20

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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.