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Finding the Fourth Proportional to 1,388.08, 1,915.59 and 946.18

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Solution

The fourth proportional to 1,388.08, 1,915.59 and 946.18 is: 1,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.08 : 1,915.59 = 946.18 : x
  2. Step 2: Convert to fraction form
    1,388.08/1,915.59 = 946.18/x
  3. Step 3: Cross multiply
    1,388.08x = 1,915.59 × 946.18
  4. Step 4: Simplify right side
    1,388.08x = 1,812,492.95
  5. Step 5: Solve for x
    x = 1,812,492.95/1,388.08
  6. Step 6: Final answer
    x = 1,305.76

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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.