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Finding the Fourth Proportional to 2,070.60, 3,106.40 and 609.72

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Solution

The fourth proportional to 2,070.60, 3,106.40 and 609.72 is: 914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.60 : 3,106.40 = 609.72 : x
  2. Step 2: Convert to fraction form
    2,070.60/3,106.40 = 609.72/x
  3. Step 3: Cross multiply
    2,070.60x = 3,106.40 × 609.72
  4. Step 4: Simplify right side
    2,070.60x = 1,894,034.21
  5. Step 5: Solve for x
    x = 1,894,034.21/2,070.60
  6. Step 6: Final answer
    x = 914.73

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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.