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Finding the Fourth Proportional to 1,714.99, 2,366.66 and 929.03

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Solution

The fourth proportional to 1,714.99, 2,366.66 and 929.03 is: 1,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.99 : 2,366.66 = 929.03 : x
  2. Step 2: Convert to fraction form
    1,714.99/2,366.66 = 929.03/x
  3. Step 3: Cross multiply
    1,714.99x = 2,366.66 × 929.03
  4. Step 4: Simplify right side
    1,714.99x = 2,198,698.14
  5. Step 5: Solve for x
    x = 2,198,698.14/1,714.99
  6. Step 6: Final answer
    x = 1,282.05

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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.