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Finding the Fourth Proportional to 1,421.99, 1,961.12 and 924.45

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Solution

The fourth proportional to 1,421.99, 1,961.12 and 924.45 is: 1,274.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.99 : 1,961.12 = 924.45 : x
  2. Step 2: Convert to fraction form
    1,421.99/1,961.12 = 924.45/x
  3. Step 3: Cross multiply
    1,421.99x = 1,961.12 × 924.45
  4. Step 4: Simplify right side
    1,421.99x = 1,812,959.70
  5. Step 5: Solve for x
    x = 1,812,959.70/1,421.99
  6. Step 6: Final answer
    x = 1,274.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.