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Finding the Fourth Proportional to 2,948.52, 4,069.08 and 1,830.03

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Solution

The fourth proportional to 2,948.52, 4,069.08 and 1,830.03 is: 2,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.52 : 4,069.08 = 1,830.03 : x
  2. Step 2: Convert to fraction form
    2,948.52/4,069.08 = 1,830.03/x
  3. Step 3: Cross multiply
    2,948.52x = 4,069.08 × 1,830.03
  4. Step 4: Simplify right side
    2,948.52x = 7,446,538.47
  5. Step 5: Solve for x
    x = 7,446,538.47/2,948.52
  6. Step 6: Final answer
    x = 2,525.52

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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.