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Finding the Fourth Proportional to 1,710.77, 2,562.93 and 1,364.49

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Solution

The fourth proportional to 1,710.77, 2,562.93 and 1,364.49 is: 2,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.77 : 2,562.93 = 1,364.49 : x
  2. Step 2: Convert to fraction form
    1,710.77/2,562.93 = 1,364.49/x
  3. Step 3: Cross multiply
    1,710.77x = 2,562.93 × 1,364.49
  4. Step 4: Simplify right side
    1,710.77x = 3,497,092.36
  5. Step 5: Solve for x
    x = 3,497,092.36/1,710.77
  6. Step 6: Final answer
    x = 2,044.17

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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.