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Finding the Fourth Proportional to 2,058.68, 2,839.80 and 1,428.08

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Solution

The fourth proportional to 2,058.68, 2,839.80 and 1,428.08 is: 1,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.68 : 2,839.80 = 1,428.08 : x
  2. Step 2: Convert to fraction form
    2,058.68/2,839.80 = 1,428.08/x
  3. Step 3: Cross multiply
    2,058.68x = 2,839.80 × 1,428.08
  4. Step 4: Simplify right side
    2,058.68x = 4,055,461.58
  5. Step 5: Solve for x
    x = 4,055,461.58/2,058.68
  6. Step 6: Final answer
    x = 1,969.93

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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.