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Finding the Fourth Proportional to 2,070.32, 3,106.08 and 609.48

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Solution

The fourth proportional to 2,070.32, 3,106.08 and 609.48 is: 914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.32 : 3,106.08 = 609.48 : x
  2. Step 2: Convert to fraction form
    2,070.32/3,106.08 = 609.48/x
  3. Step 3: Cross multiply
    2,070.32x = 3,106.08 × 609.48
  4. Step 4: Simplify right side
    2,070.32x = 1,893,078.11
  5. Step 5: Solve for x
    x = 1,893,078.11/2,070.32
  6. Step 6: Final answer
    x = 914.39

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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.