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Finding the Fourth Proportional to 2,347.82, 3,239.95 and 1,416.32

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Solution

The fourth proportional to 2,347.82, 3,239.95 and 1,416.32 is: 1,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.82 : 3,239.95 = 1,416.32 : x
  2. Step 2: Convert to fraction form
    2,347.82/3,239.95 = 1,416.32/x
  3. Step 3: Cross multiply
    2,347.82x = 3,239.95 × 1,416.32
  4. Step 4: Simplify right side
    2,347.82x = 4,588,805.98
  5. Step 5: Solve for x
    x = 4,588,805.98/2,347.82
  6. Step 6: Final answer
    x = 1,954.50

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1.5x scale

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.