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Finding the Fourth Proportional to 1,807.62, 2,710.21 and 929.02

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Solution

The fourth proportional to 1,807.62, 2,710.21 and 929.02 is: 1,392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.62 : 2,710.21 = 929.02 : x
  2. Step 2: Convert to fraction form
    1,807.62/2,710.21 = 929.02/x
  3. Step 3: Cross multiply
    1,807.62x = 2,710.21 × 929.02
  4. Step 4: Simplify right side
    1,807.62x = 2,517,846.07
  5. Step 5: Solve for x
    x = 2,517,846.07/1,807.62
  6. Step 6: Final answer
    x = 1,392.91

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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.