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Finding the Fourth Proportional to 1,389.37, 1,916.66 and 917.45

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Solution

The fourth proportional to 1,389.37, 1,916.66 and 917.45 is: 1,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.37 : 1,916.66 = 917.45 : x
  2. Step 2: Convert to fraction form
    1,389.37/1,916.66 = 917.45/x
  3. Step 3: Cross multiply
    1,389.37x = 1,916.66 × 917.45
  4. Step 4: Simplify right side
    1,389.37x = 1,758,439.72
  5. Step 5: Solve for x
    x = 1,758,439.72/1,389.37
  6. Step 6: Final answer
    x = 1,265.64

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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.