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Finding the Fourth Proportional to 1,781.47, 2,458.43 and 973.93

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Solution

The fourth proportional to 1,781.47, 2,458.43 and 973.93 is: 1,344.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.47 : 2,458.43 = 973.93 : x
  2. Step 2: Convert to fraction form
    1,781.47/2,458.43 = 973.93/x
  3. Step 3: Cross multiply
    1,781.47x = 2,458.43 × 973.93
  4. Step 4: Simplify right side
    1,781.47x = 2,394,334.89
  5. Step 5: Solve for x
    x = 2,394,334.89/1,781.47
  6. Step 6: Final answer
    x = 1,344.03

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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.