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Finding the Fourth Proportional to 1,426.54, 1,967.70 and 1,007.50

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Solution

The fourth proportional to 1,426.54, 1,967.70 and 1,007.50 is: 1,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.54 : 1,967.70 = 1,007.50 : x
  2. Step 2: Convert to fraction form
    1,426.54/1,967.70 = 1,007.50/x
  3. Step 3: Cross multiply
    1,426.54x = 1,967.70 × 1,007.50
  4. Step 4: Simplify right side
    1,426.54x = 1,982,457.75
  5. Step 5: Solve for x
    x = 1,982,457.75/1,426.54
  6. Step 6: Final answer
    x = 1,389.70

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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.