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Finding the Fourth Proportional to 2,347.36, 3,240 and 1,403.80

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Solution

The fourth proportional to 2,347.36, 3,240 and 1,403.80 is: 1,937.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.36 : 3,240 = 1,403.80 : x
  2. Step 2: Convert to fraction form
    2,347.36/3,240 = 1,403.80/x
  3. Step 3: Cross multiply
    2,347.36x = 3,240 × 1,403.80
  4. Step 4: Simplify right side
    2,347.36x = 4,548,303.90
  5. Step 5: Solve for x
    x = 4,548,303.90/2,347.36
  6. Step 6: Final answer
    x = 1,937.63

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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.