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Finding the Fourth Proportional to 1,428.41, 2,141.72 and 802.68

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Solution

The fourth proportional to 1,428.41, 2,141.72 and 802.68 is: 1,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.41 : 2,141.72 = 802.68 : x
  2. Step 2: Convert to fraction form
    1,428.41/2,141.72 = 802.68/x
  3. Step 3: Cross multiply
    1,428.41x = 2,141.72 × 802.68
  4. Step 4: Simplify right side
    1,428.41x = 1,719,111.80
  5. Step 5: Solve for x
    x = 1,719,111.80/1,428.41
  6. Step 6: Final answer
    x = 1,203.52

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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.