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Finding the Fourth Proportional to 1,365.86, 1,884.12 and 973.46

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Solution

The fourth proportional to 1,365.86, 1,884.12 and 973.46 is: 1,342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.86 : 1,884.12 = 973.46 : x
  2. Step 2: Convert to fraction form
    1,365.86/1,884.12 = 973.46/x
  3. Step 3: Cross multiply
    1,365.86x = 1,884.12 × 973.46
  4. Step 4: Simplify right side
    1,365.86x = 1,834,115.46
  5. Step 5: Solve for x
    x = 1,834,115.46/1,365.86
  6. Step 6: Final answer
    x = 1,342.83

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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.