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Finding the Fourth Proportional to 2,465.44, 3,698.12 and 904.83

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Solution

The fourth proportional to 2,465.44, 3,698.12 and 904.83 is: 1,357.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.44 : 3,698.12 = 904.83 : x
  2. Step 2: Convert to fraction form
    2,465.44/3,698.12 = 904.83/x
  3. Step 3: Cross multiply
    2,465.44x = 3,698.12 × 904.83
  4. Step 4: Simplify right side
    2,465.44x = 3,346,167.24
  5. Step 5: Solve for x
    x = 3,346,167.24/2,465.44
  6. Step 6: Final answer
    x = 1,357.23

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1.5x scale

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.