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Finding the Fourth Proportional to 2,688.66, 3,708.34 and 1,802.93

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Solution

The fourth proportional to 2,688.66, 3,708.34 and 1,802.93 is: 2,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.66 : 3,708.34 = 1,802.93 : x
  2. Step 2: Convert to fraction form
    2,688.66/3,708.34 = 1,802.93/x
  3. Step 3: Cross multiply
    2,688.66x = 3,708.34 × 1,802.93
  4. Step 4: Simplify right side
    2,688.66x = 6,685,854.39
  5. Step 5: Solve for x
    x = 6,685,854.39/2,688.66
  6. Step 6: Final answer
    x = 2,486.69

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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.