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Finding the Fourth Proportional to 2,127.40, 3,191.58 and 973.48

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Solution

The fourth proportional to 2,127.40, 3,191.58 and 973.48 is: 1,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.40 : 3,191.58 = 973.48 : x
  2. Step 2: Convert to fraction form
    2,127.40/3,191.58 = 973.48/x
  3. Step 3: Cross multiply
    2,127.40x = 3,191.58 × 973.48
  4. Step 4: Simplify right side
    2,127.40x = 3,106,939.30
  5. Step 5: Solve for x
    x = 3,106,939.30/2,127.40
  6. Step 6: Final answer
    x = 1,460.44

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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.