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Finding the Fourth Proportional to 1,637.99, 2,260.46 and 975.35

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Solution

The fourth proportional to 1,637.99, 2,260.46 and 975.35 is: 1,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.99 : 2,260.46 = 975.35 : x
  2. Step 2: Convert to fraction form
    1,637.99/2,260.46 = 975.35/x
  3. Step 3: Cross multiply
    1,637.99x = 2,260.46 × 975.35
  4. Step 4: Simplify right side
    1,637.99x = 2,204,739.66
  5. Step 5: Solve for x
    x = 2,204,739.66/1,637.99
  6. Step 6: Final answer
    x = 1,346.00

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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.