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Finding the Fourth Proportional to 1,769.66, 2,442.20 and 973.07

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Solution

The fourth proportional to 1,769.66, 2,442.20 and 973.07 is: 1,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.66 : 2,442.20 = 973.07 : x
  2. Step 2: Convert to fraction form
    1,769.66/2,442.20 = 973.07/x
  3. Step 3: Cross multiply
    1,769.66x = 2,442.20 × 973.07
  4. Step 4: Simplify right side
    1,769.66x = 2,376,423.64
  5. Step 5: Solve for x
    x = 2,376,423.64/1,769.66
  6. Step 6: Final answer
    x = 1,342.87

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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.