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Finding the Fourth Proportional to 1,947.61, 2,918.99 and 973.99

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Solution

The fourth proportional to 1,947.61, 2,918.99 and 973.99 is: 1,459.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.61 : 2,918.99 = 973.99 : x
  2. Step 2: Convert to fraction form
    1,947.61/2,918.99 = 973.99/x
  3. Step 3: Cross multiply
    1,947.61x = 2,918.99 × 973.99
  4. Step 4: Simplify right side
    1,947.61x = 2,843,062.20
  5. Step 5: Solve for x
    x = 2,843,062.20/1,947.61
  6. Step 6: Final answer
    x = 1,459.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.