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Finding the Fourth Proportional to 1,848.48, 2,759.88 and 1,830

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Solution

The fourth proportional to 1,848.48, 2,759.88 and 1,830 is: 2,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.48 : 2,759.88 = 1,830 : x
  2. Step 2: Convert to fraction form
    1,848.48/2,759.88 = 1,830/x
  3. Step 3: Cross multiply
    1,848.48x = 2,759.88 × 1,830
  4. Step 4: Simplify right side
    1,848.48x = 5,050,580.40
  5. Step 5: Solve for x
    x = 5,050,580.40/1,848.48
  6. Step 6: Final answer
    x = 2,732.29

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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.