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Finding the Fourth Proportional to 2,141.58, 3,214.20 and 973.36

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Solution

The fourth proportional to 2,141.58, 3,214.20 and 973.36 is: 1,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.58 : 3,214.20 = 973.36 : x
  2. Step 2: Convert to fraction form
    2,141.58/3,214.20 = 973.36/x
  3. Step 3: Cross multiply
    2,141.58x = 3,214.20 × 973.36
  4. Step 4: Simplify right side
    2,141.58x = 3,128,573.71
  5. Step 5: Solve for x
    x = 3,128,573.71/2,141.58
  6. Step 6: Final answer
    x = 1,460.87

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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.