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Finding the Fourth Proportional to 2,357.59, 3,253.08 and 1,309.63

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Solution

The fourth proportional to 2,357.59, 3,253.08 and 1,309.63 is: 1,807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.59 : 3,253.08 = 1,309.63 : x
  2. Step 2: Convert to fraction form
    2,357.59/3,253.08 = 1,309.63/x
  3. Step 3: Cross multiply
    2,357.59x = 3,253.08 × 1,309.63
  4. Step 4: Simplify right side
    2,357.59x = 4,260,331.16
  5. Step 5: Solve for x
    x = 4,260,331.16/2,357.59
  6. Step 6: Final answer
    x = 1,807.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.