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Finding the Fourth Proportional to 1,904.74, 2,609.54 and 1,830.93

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Solution

The fourth proportional to 1,904.74, 2,609.54 and 1,830.93 is: 2,508.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.74 : 2,609.54 = 1,830.93 : x
  2. Step 2: Convert to fraction form
    1,904.74/2,609.54 = 1,830.93/x
  3. Step 3: Cross multiply
    1,904.74x = 2,609.54 × 1,830.93
  4. Step 4: Simplify right side
    1,904.74x = 4,777,873.90
  5. Step 5: Solve for x
    x = 4,777,873.90/1,904.74
  6. Step 6: Final answer
    x = 2,508.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.