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Finding the Fourth Proportional to 1,396.17, 2,090.14 and 874.46

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Solution

The fourth proportional to 1,396.17, 2,090.14 and 874.46 is: 1,309.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.17 : 2,090.14 = 874.46 : x
  2. Step 2: Convert to fraction form
    1,396.17/2,090.14 = 874.46/x
  3. Step 3: Cross multiply
    1,396.17x = 2,090.14 × 874.46
  4. Step 4: Simplify right side
    1,396.17x = 1,827,746.86
  5. Step 5: Solve for x
    x = 1,827,746.86/1,396.17
  6. Step 6: Final answer
    x = 1,309.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.