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Finding the Fourth Proportional to 1,637.02, 2,449.35 and 976.48

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Solution

The fourth proportional to 1,637.02, 2,449.35 and 976.48 is: 1,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.02 : 2,449.35 = 976.48 : x
  2. Step 2: Convert to fraction form
    1,637.02/2,449.35 = 976.48/x
  3. Step 3: Cross multiply
    1,637.02x = 2,449.35 × 976.48
  4. Step 4: Simplify right side
    1,637.02x = 2,391,741.29
  5. Step 5: Solve for x
    x = 2,391,741.29/1,637.02
  6. Step 6: Final answer
    x = 1,461.03

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