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Finding the Fourth Proportional to 2,318.42, 3,477.63 and 1,404.50

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Solution

The fourth proportional to 2,318.42, 3,477.63 and 1,404.50 is: 2,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.42 : 3,477.63 = 1,404.50 : x
  2. Step 2: Convert to fraction form
    2,318.42/3,477.63 = 1,404.50/x
  3. Step 3: Cross multiply
    2,318.42x = 3,477.63 × 1,404.50
  4. Step 4: Simplify right side
    2,318.42x = 4,884,331.34
  5. Step 5: Solve for x
    x = 4,884,331.34/2,318.42
  6. Step 6: Final answer
    x = 2,106.75

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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.