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Finding the Fourth Proportional to 1,389.30, 1,915.74 and 946.32

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Solution

The fourth proportional to 1,389.30, 1,915.74 and 946.32 is: 1,304.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.30 : 1,915.74 = 946.32 : x
  2. Step 2: Convert to fraction form
    1,389.30/1,915.74 = 946.32/x
  3. Step 3: Cross multiply
    1,389.30x = 1,915.74 × 946.32
  4. Step 4: Simplify right side
    1,389.30x = 1,812,903.08
  5. Step 5: Solve for x
    x = 1,812,903.08/1,389.30
  6. Step 6: Final answer
    x = 1,304.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.