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Finding the Fourth Proportional to 2,070.17, 3,102.73 and 973.07

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Solution

The fourth proportional to 2,070.17, 3,102.73 and 973.07 is: 1,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.17 : 3,102.73 = 973.07 : x
  2. Step 2: Convert to fraction form
    2,070.17/3,102.73 = 973.07/x
  3. Step 3: Cross multiply
    2,070.17x = 3,102.73 × 973.07
  4. Step 4: Simplify right side
    2,070.17x = 3,019,173.48
  5. Step 5: Solve for x
    x = 3,019,173.48/2,070.17
  6. Step 6: Final answer
    x = 1,458.42

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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.