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Finding the Fourth Proportional to 2,359.86, 3,256.83 and 1,475.49

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Solution

The fourth proportional to 2,359.86, 3,256.83 and 1,475.49 is: 2,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.86 : 3,256.83 = 1,475.49 : x
  2. Step 2: Convert to fraction form
    2,359.86/3,256.83 = 1,475.49/x
  3. Step 3: Cross multiply
    2,359.86x = 3,256.83 × 1,475.49
  4. Step 4: Simplify right side
    2,359.86x = 4,805,420.10
  5. Step 5: Solve for x
    x = 4,805,420.10/2,359.86
  6. Step 6: Final answer
    x = 2,036.32

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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.