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Finding the Fourth Proportional to 1,678.47, 2,513.90 and 1,445.51

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Solution

The fourth proportional to 1,678.47, 2,513.90 and 1,445.51 is: 2,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.47 : 2,513.90 = 1,445.51 : x
  2. Step 2: Convert to fraction form
    1,678.47/2,513.90 = 1,445.51/x
  3. Step 3: Cross multiply
    1,678.47x = 2,513.90 × 1,445.51
  4. Step 4: Simplify right side
    1,678.47x = 3,633,847.79
  5. Step 5: Solve for x
    x = 3,633,847.79/1,678.47
  6. Step 6: Final answer
    x = 2,164.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.