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Finding the Fourth Proportional to 1,387.95, 1,914.15 and 946.45

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Solution

The fourth proportional to 1,387.95, 1,914.15 and 946.45 is: 1,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.95 : 1,914.15 = 946.45 : x
  2. Step 2: Convert to fraction form
    1,387.95/1,914.15 = 946.45/x
  3. Step 3: Cross multiply
    1,387.95x = 1,914.15 × 946.45
  4. Step 4: Simplify right side
    1,387.95x = 1,811,647.27
  5. Step 5: Solve for x
    x = 1,811,647.27/1,387.95
  6. Step 6: Final answer
    x = 1,305.27

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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.