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Finding the Fourth Proportional to 2,592.90, 3,887.01 and 948.30

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Solution

The fourth proportional to 2,592.90, 3,887.01 and 948.30 is: 1,421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.90 : 3,887.01 = 948.30 : x
  2. Step 2: Convert to fraction form
    2,592.90/3,887.01 = 948.30/x
  3. Step 3: Cross multiply
    2,592.90x = 3,887.01 × 948.30
  4. Step 4: Simplify right side
    2,592.90x = 3,686,051.58
  5. Step 5: Solve for x
    x = 3,686,051.58/2,592.90
  6. Step 6: Final answer
    x = 1,421.59

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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.