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Finding the Fourth Proportional to 2,360.04, 3,538.66 and 899.30

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Solution

The fourth proportional to 2,360.04, 3,538.66 and 899.30 is: 1,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.04 : 3,538.66 = 899.30 : x
  2. Step 2: Convert to fraction form
    2,360.04/3,538.66 = 899.30/x
  3. Step 3: Cross multiply
    2,360.04x = 3,538.66 × 899.30
  4. Step 4: Simplify right side
    2,360.04x = 3,182,316.94
  5. Step 5: Solve for x
    x = 3,182,316.94/2,360.04
  6. Step 6: Final answer
    x = 1,348.42

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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.