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Finding the Fourth Proportional to 2,407.77, 3,607.65 and 2,316.60

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Solution

The fourth proportional to 2,407.77, 3,607.65 and 2,316.60 is: 3,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.77 : 3,607.65 = 2,316.60 : x
  2. Step 2: Convert to fraction form
    2,407.77/3,607.65 = 2,316.60/x
  3. Step 3: Cross multiply
    2,407.77x = 3,607.65 × 2,316.60
  4. Step 4: Simplify right side
    2,407.77x = 8,357,481.99
  5. Step 5: Solve for x
    x = 8,357,481.99/2,407.77
  6. Step 6: Final answer
    x = 3,471.05

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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.