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Finding the Fourth Proportional to 2,347.98, 3,240.23 and 1,300.05

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Solution

The fourth proportional to 2,347.98, 3,240.23 and 1,300.05 is: 1,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.98 : 3,240.23 = 1,300.05 : x
  2. Step 2: Convert to fraction form
    2,347.98/3,240.23 = 1,300.05/x
  3. Step 3: Cross multiply
    2,347.98x = 3,240.23 × 1,300.05
  4. Step 4: Simplify right side
    2,347.98x = 4,212,454.51
  5. Step 5: Solve for x
    x = 4,212,454.51/2,347.98
  6. Step 6: Final answer
    x = 1,794.08

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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.