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Finding the Fourth Proportional to 2,070.35, 3,105.53 and 973.43

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Solution

The fourth proportional to 2,070.35, 3,105.53 and 973.43 is: 1,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.35 : 3,105.53 = 973.43 : x
  2. Step 2: Convert to fraction form
    2,070.35/3,105.53 = 973.43/x
  3. Step 3: Cross multiply
    2,070.35x = 3,105.53 × 973.43
  4. Step 4: Simplify right side
    2,070.35x = 3,023,016.07
  5. Step 5: Solve for x
    x = 3,023,016.07/2,070.35
  6. Step 6: Final answer
    x = 1,460.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.