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Finding the Fourth Proportional to 1,445.64, 1,995.18 and 886.14

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Solution

The fourth proportional to 1,445.64, 1,995.18 and 886.14 is: 1,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.64 : 1,995.18 = 886.14 : x
  2. Step 2: Convert to fraction form
    1,445.64/1,995.18 = 886.14/x
  3. Step 3: Cross multiply
    1,445.64x = 1,995.18 × 886.14
  4. Step 4: Simplify right side
    1,445.64x = 1,768,008.81
  5. Step 5: Solve for x
    x = 1,768,008.81/1,445.64
  6. Step 6: Final answer
    x = 1,222.99

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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.