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Finding the Fourth Proportional to 2,359.48, 3,256.23 and 1,365.07

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Solution

The fourth proportional to 2,359.48, 3,256.23 and 1,365.07 is: 1,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.48 : 3,256.23 = 1,365.07 : x
  2. Step 2: Convert to fraction form
    2,359.48/3,256.23 = 1,365.07/x
  3. Step 3: Cross multiply
    2,359.48x = 3,256.23 × 1,365.07
  4. Step 4: Simplify right side
    2,359.48x = 4,444,981.89
  5. Step 5: Solve for x
    x = 4,444,981.89/2,359.48
  6. Step 6: Final answer
    x = 1,883.88

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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.