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Finding the Fourth Proportional to 1,360.93, 2,041.64 and 899.09

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Solution

The fourth proportional to 1,360.93, 2,041.64 and 899.09 is: 1,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.93 : 2,041.64 = 899.09 : x
  2. Step 2: Convert to fraction form
    1,360.93/2,041.64 = 899.09/x
  3. Step 3: Cross multiply
    1,360.93x = 2,041.64 × 899.09
  4. Step 4: Simplify right side
    1,360.93x = 1,835,613.61
  5. Step 5: Solve for x
    x = 1,835,613.61/1,360.93
  6. Step 6: Final answer
    x = 1,348.80

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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.