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Finding the Fourth Proportional to 1,646.99, 2,275.07 and 1,317.77

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Solution

The fourth proportional to 1,646.99, 2,275.07 and 1,317.77 is: 1,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.99 : 2,275.07 = 1,317.77 : x
  2. Step 2: Convert to fraction form
    1,646.99/2,275.07 = 1,317.77/x
  3. Step 3: Cross multiply
    1,646.99x = 2,275.07 × 1,317.77
  4. Step 4: Simplify right side
    1,646.99x = 2,998,012.41
  5. Step 5: Solve for x
    x = 2,998,012.41/1,646.99
  6. Step 6: Final answer
    x = 1,820.30

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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.