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Finding the Fourth Proportional to 1,748.82, 2,602.59 and 1,690.50

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Solution

The fourth proportional to 1,748.82, 2,602.59 and 1,690.50 is: 2,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.82 : 2,602.59 = 1,690.50 : x
  2. Step 2: Convert to fraction form
    1,748.82/2,602.59 = 1,690.50/x
  3. Step 3: Cross multiply
    1,748.82x = 2,602.59 × 1,690.50
  4. Step 4: Simplify right side
    1,748.82x = 4,399,678.40
  5. Step 5: Solve for x
    x = 4,399,678.40/1,748.82
  6. Step 6: Final answer
    x = 2,515.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.