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Finding the Fourth Proportional to 2,710.34, 4,070.01 and 1,690.82

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Solution

The fourth proportional to 2,710.34, 4,070.01 and 1,690.82 is: 2,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.34 : 4,070.01 = 1,690.82 : x
  2. Step 2: Convert to fraction form
    2,710.34/4,070.01 = 1,690.82/x
  3. Step 3: Cross multiply
    2,710.34x = 4,070.01 × 1,690.82
  4. Step 4: Simplify right side
    2,710.34x = 6,881,654.31
  5. Step 5: Solve for x
    x = 6,881,654.31/2,710.34
  6. Step 6: Final answer
    x = 2,539.04

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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.