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Finding the Fourth Proportional to 1,388.40, 2,071.74 and 1,355.46

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Solution

The fourth proportional to 1,388.40, 2,071.74 and 1,355.46 is: 2,022.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.40 : 2,071.74 = 1,355.46 : x
  2. Step 2: Convert to fraction form
    1,388.40/2,071.74 = 1,355.46/x
  3. Step 3: Cross multiply
    1,388.40x = 2,071.74 × 1,355.46
  4. Step 4: Simplify right side
    1,388.40x = 2,808,160.70
  5. Step 5: Solve for x
    x = 2,808,160.70/1,388.40
  6. Step 6: Final answer
    x = 2,022.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.