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Finding the Fourth Proportional to 1,153.81, 1,715.90 and 1,117.36

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Solution

The fourth proportional to 1,153.81, 1,715.90 and 1,117.36 is: 1,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.81 : 1,715.90 = 1,117.36 : x
  2. Step 2: Convert to fraction form
    1,153.81/1,715.90 = 1,117.36/x
  3. Step 3: Cross multiply
    1,153.81x = 1,715.90 × 1,117.36
  4. Step 4: Simplify right side
    1,153.81x = 1,917,278.02
  5. Step 5: Solve for x
    x = 1,917,278.02/1,153.81
  6. Step 6: Final answer
    x = 1,661.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.