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Finding the Fourth Proportional to 1,498.63, 2,069.54 and 1,416.82

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Solution

The fourth proportional to 1,498.63, 2,069.54 and 1,416.82 is: 1,956.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.63 : 2,069.54 = 1,416.82 : x
  2. Step 2: Convert to fraction form
    1,498.63/2,069.54 = 1,416.82/x
  3. Step 3: Cross multiply
    1,498.63x = 2,069.54 × 1,416.82
  4. Step 4: Simplify right side
    1,498.63x = 2,932,165.66
  5. Step 5: Solve for x
    x = 2,932,165.66/1,498.63
  6. Step 6: Final answer
    x = 1,956.56

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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.