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Finding the Fourth Proportional to 1,689.74, 2,534.63 and 594.11

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Solution

The fourth proportional to 1,689.74, 2,534.63 and 594.11 is: 891.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.74 : 2,534.63 = 594.11 : x
  2. Step 2: Convert to fraction form
    1,689.74/2,534.63 = 594.11/x
  3. Step 3: Cross multiply
    1,689.74x = 2,534.63 × 594.11
  4. Step 4: Simplify right side
    1,689.74x = 1,505,852.40
  5. Step 5: Solve for x
    x = 1,505,852.40/1,689.74
  6. Step 6: Final answer
    x = 891.17

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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.