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Finding the Fourth Proportional to 1,764.86, 2,429.94 and 1,498.77

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Solution

The fourth proportional to 1,764.86, 2,429.94 and 1,498.77 is: 2,063.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.86 : 2,429.94 = 1,498.77 : x
  2. Step 2: Convert to fraction form
    1,764.86/2,429.94 = 1,498.77/x
  3. Step 3: Cross multiply
    1,764.86x = 2,429.94 × 1,498.77
  4. Step 4: Simplify right side
    1,764.86x = 3,641,921.17
  5. Step 5: Solve for x
    x = 3,641,921.17/1,764.86
  6. Step 6: Final answer
    x = 2,063.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.