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Finding the Fourth Proportional to 1,835.31, 2,752.56 and 602.76

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Solution

The fourth proportional to 1,835.31, 2,752.56 and 602.76 is: 904.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.31 : 2,752.56 = 602.76 : x
  2. Step 2: Convert to fraction form
    1,835.31/2,752.56 = 602.76/x
  3. Step 3: Cross multiply
    1,835.31x = 2,752.56 × 602.76
  4. Step 4: Simplify right side
    1,835.31x = 1,659,133.07
  5. Step 5: Solve for x
    x = 1,659,133.07/1,835.31
  6. Step 6: Final answer
    x = 904.01

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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.