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Finding the Fourth Proportional to 1,690.64, 2,536.92 and 716.64

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Solution

The fourth proportional to 1,690.64, 2,536.92 and 716.64 is: 1,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.64 : 2,536.92 = 716.64 : x
  2. Step 2: Convert to fraction form
    1,690.64/2,536.92 = 716.64/x
  3. Step 3: Cross multiply
    1,690.64x = 2,536.92 × 716.64
  4. Step 4: Simplify right side
    1,690.64x = 1,818,058.35
  5. Step 5: Solve for x
    x = 1,818,058.35/1,690.64
  6. Step 6: Final answer
    x = 1,075.37

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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.