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Finding the Fourth Proportional to 1,365.41, 2,047.48 and 954.74

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Solution

The fourth proportional to 1,365.41, 2,047.48 and 954.74 is: 1,431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.41 : 2,047.48 = 954.74 : x
  2. Step 2: Convert to fraction form
    1,365.41/2,047.48 = 954.74/x
  3. Step 3: Cross multiply
    1,365.41x = 2,047.48 × 954.74
  4. Step 4: Simplify right side
    1,365.41x = 1,954,802.27
  5. Step 5: Solve for x
    x = 1,954,802.27/1,365.41
  6. Step 6: Final answer
    x = 1,431.66

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Why These Related Problems?

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