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Finding the Fourth Proportional to 2,665.93, 3,678.96 and 1,470.93

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Solution

The fourth proportional to 2,665.93, 3,678.96 and 1,470.93 is: 2,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.93 : 3,678.96 = 1,470.93 : x
  2. Step 2: Convert to fraction form
    2,665.93/3,678.96 = 1,470.93/x
  3. Step 3: Cross multiply
    2,665.93x = 3,678.96 × 1,470.93
  4. Step 4: Simplify right side
    2,665.93x = 5,411,470.13
  5. Step 5: Solve for x
    x = 5,411,470.13/2,665.93
  6. Step 6: Final answer
    x = 2,029.86

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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.