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Finding the Fourth Proportional to 2,029.66, 2,802.64 and 1,368.70

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Solution

The fourth proportional to 2,029.66, 2,802.64 and 1,368.70 is: 1,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.66 : 2,802.64 = 1,368.70 : x
  2. Step 2: Convert to fraction form
    2,029.66/2,802.64 = 1,368.70/x
  3. Step 3: Cross multiply
    2,029.66x = 2,802.64 × 1,368.70
  4. Step 4: Simplify right side
    2,029.66x = 3,835,973.37
  5. Step 5: Solve for x
    x = 3,835,973.37/2,029.66
  6. Step 6: Final answer
    x = 1,889.96

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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.