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Finding the Fourth Proportional to 2,417, 3,335.80 and 1,369.07

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Solution

The fourth proportional to 2,417, 3,335.80 and 1,369.07 is: 1,889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417 : 3,335.80 = 1,369.07 : x
  2. Step 2: Convert to fraction form
    2,417/3,335.80 = 1,369.07/x
  3. Step 3: Cross multiply
    2,417x = 3,335.80 × 1,369.07
  4. Step 4: Simplify right side
    2,417x = 4,566,927.03
  5. Step 5: Solve for x
    x = 4,566,927.03/2,417
  6. Step 6: Final answer
    x = 1,889.50

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Why These Related Problems?

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