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Finding the Fourth Proportional to 1,355.84, 1,870.20 and 890.12

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Solution

The fourth proportional to 1,355.84, 1,870.20 and 890.12 is: 1,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.84 : 1,870.20 = 890.12 : x
  2. Step 2: Convert to fraction form
    1,355.84/1,870.20 = 890.12/x
  3. Step 3: Cross multiply
    1,355.84x = 1,870.20 × 890.12
  4. Step 4: Simplify right side
    1,355.84x = 1,664,702.42
  5. Step 5: Solve for x
    x = 1,664,702.42/1,355.84
  6. Step 6: Final answer
    x = 1,227.80

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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.