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Finding the Fourth Proportional to 1,835.06, 2,752.76 and 602.17

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Solution

The fourth proportional to 1,835.06, 2,752.76 and 602.17 is: 903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.06 : 2,752.76 = 602.17 : x
  2. Step 2: Convert to fraction form
    1,835.06/2,752.76 = 602.17/x
  3. Step 3: Cross multiply
    1,835.06x = 2,752.76 × 602.17
  4. Step 4: Simplify right side
    1,835.06x = 1,657,624.11
  5. Step 5: Solve for x
    x = 1,657,624.11/1,835.06
  6. Step 6: Final answer
    x = 903.31

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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.