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Finding the Fourth Proportional to 2,365.47, 3,548.35 and 722.14

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Solution

The fourth proportional to 2,365.47, 3,548.35 and 722.14 is: 1,083.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.47 : 3,548.35 = 722.14 : x
  2. Step 2: Convert to fraction form
    2,365.47/3,548.35 = 722.14/x
  3. Step 3: Cross multiply
    2,365.47x = 3,548.35 × 722.14
  4. Step 4: Simplify right side
    2,365.47x = 2,562,405.47
  5. Step 5: Solve for x
    x = 2,562,405.47/2,365.47
  6. Step 6: Final answer
    x = 1,083.25

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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.