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Finding the Fourth Proportional to 1,848.58, 2,552.24 and 1,428.20

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Solution

The fourth proportional to 1,848.58, 2,552.24 and 1,428.20 is: 1,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.58 : 2,552.24 = 1,428.20 : x
  2. Step 2: Convert to fraction form
    1,848.58/2,552.24 = 1,428.20/x
  3. Step 3: Cross multiply
    1,848.58x = 2,552.24 × 1,428.20
  4. Step 4: Simplify right side
    1,848.58x = 3,645,109.17
  5. Step 5: Solve for x
    x = 3,645,109.17/1,848.58
  6. Step 6: Final answer
    x = 1,971.84

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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.