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Finding the Fourth Proportional to 2,404.64, 3,602.90 and 1,709.94

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Solution

The fourth proportional to 2,404.64, 3,602.90 and 1,709.94 is: 2,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.64 : 3,602.90 = 1,709.94 : x
  2. Step 2: Convert to fraction form
    2,404.64/3,602.90 = 1,709.94/x
  3. Step 3: Cross multiply
    2,404.64x = 3,602.90 × 1,709.94
  4. Step 4: Simplify right side
    2,404.64x = 6,160,742.83
  5. Step 5: Solve for x
    x = 6,160,742.83/2,404.64
  6. Step 6: Final answer
    x = 2,562.02

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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.