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Finding the Fourth Proportional to 1,764.49, 2,646.52 and 1,024.51

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Solution

The fourth proportional to 1,764.49, 2,646.52 and 1,024.51 is: 1,536.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.49 : 2,646.52 = 1,024.51 : x
  2. Step 2: Convert to fraction form
    1,764.49/2,646.52 = 1,024.51/x
  3. Step 3: Cross multiply
    1,764.49x = 2,646.52 × 1,024.51
  4. Step 4: Simplify right side
    1,764.49x = 2,711,377.03
  5. Step 5: Solve for x
    x = 2,711,377.03/1,764.49
  6. Step 6: Final answer
    x = 1,536.64

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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.