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Finding the Fourth Proportional to 2,673.84, 4,017 and 2,356.08

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Solution

The fourth proportional to 2,673.84, 4,017 and 2,356.08 is: 3,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.84 : 4,017 = 2,356.08 : x
  2. Step 2: Convert to fraction form
    2,673.84/4,017 = 2,356.08/x
  3. Step 3: Cross multiply
    2,673.84x = 4,017 × 2,356.08
  4. Step 4: Simplify right side
    2,673.84x = 9,464,373.36
  5. Step 5: Solve for x
    x = 9,464,373.36/2,673.84
  6. Step 6: Final answer
    x = 3,539.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.