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Finding the Fourth Proportional to 2,064.76, 2,848.82 and 1,802.28

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Solution

The fourth proportional to 2,064.76, 2,848.82 and 1,802.28 is: 2,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.76 : 2,848.82 = 1,802.28 : x
  2. Step 2: Convert to fraction form
    2,064.76/2,848.82 = 1,802.28/x
  3. Step 3: Cross multiply
    2,064.76x = 2,848.82 × 1,802.28
  4. Step 4: Simplify right side
    2,064.76x = 5,134,371.31
  5. Step 5: Solve for x
    x = 5,134,371.31/2,064.76
  6. Step 6: Final answer
    x = 2,486.67

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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.