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Finding the Fourth Proportional to 1,428.42, 1,970.01 and 1,097.66

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Solution

The fourth proportional to 1,428.42, 1,970.01 and 1,097.66 is: 1,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.42 : 1,970.01 = 1,097.66 : x
  2. Step 2: Convert to fraction form
    1,428.42/1,970.01 = 1,097.66/x
  3. Step 3: Cross multiply
    1,428.42x = 1,970.01 × 1,097.66
  4. Step 4: Simplify right side
    1,428.42x = 2,162,401.18
  5. Step 5: Solve for x
    x = 2,162,401.18/1,428.42
  6. Step 6: Final answer
    x = 1,513.84

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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.