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Finding the Fourth Proportional to 1,362.16, 1,878.69 and 890.02

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Solution

The fourth proportional to 1,362.16, 1,878.69 and 890.02 is: 1,227.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.16 : 1,878.69 = 890.02 : x
  2. Step 2: Convert to fraction form
    1,362.16/1,878.69 = 890.02/x
  3. Step 3: Cross multiply
    1,362.16x = 1,878.69 × 890.02
  4. Step 4: Simplify right side
    1,362.16x = 1,672,071.67
  5. Step 5: Solve for x
    x = 1,672,071.67/1,362.16
  6. Step 6: Final answer
    x = 1,227.51

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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.