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Finding the Fourth Proportional to 2,029.70, 2,802.93 and 1,333.10

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Solution

The fourth proportional to 2,029.70, 2,802.93 and 1,333.10 is: 1,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.70 : 2,802.93 = 1,333.10 : x
  2. Step 2: Convert to fraction form
    2,029.70/2,802.93 = 1,333.10/x
  3. Step 3: Cross multiply
    2,029.70x = 2,802.93 × 1,333.10
  4. Step 4: Simplify right side
    2,029.70x = 3,736,585.98
  5. Step 5: Solve for x
    x = 3,736,585.98/2,029.70
  6. Step 6: Final answer
    x = 1,840.95

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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.