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Finding the Fourth Proportional to 1,501.48, 2,241.11 and 1,409.14

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Solution

The fourth proportional to 1,501.48, 2,241.11 and 1,409.14 is: 2,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.48 : 2,241.11 = 1,409.14 : x
  2. Step 2: Convert to fraction form
    1,501.48/2,241.11 = 1,409.14/x
  3. Step 3: Cross multiply
    1,501.48x = 2,241.11 × 1,409.14
  4. Step 4: Simplify right side
    1,501.48x = 3,158,037.75
  5. Step 5: Solve for x
    x = 3,158,037.75/1,501.48
  6. Step 6: Final answer
    x = 2,103.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.