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Finding the Fourth Proportional to 1,384.56, 2,061.72 and 1,313.28

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Solution

The fourth proportional to 1,384.56, 2,061.72 and 1,313.28 is: 1,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.56 : 2,061.72 = 1,313.28 : x
  2. Step 2: Convert to fraction form
    1,384.56/2,061.72 = 1,313.28/x
  3. Step 3: Cross multiply
    1,384.56x = 2,061.72 × 1,313.28
  4. Step 4: Simplify right side
    1,384.56x = 2,707,615.64
  5. Step 5: Solve for x
    x = 2,707,615.64/1,384.56
  6. Step 6: Final answer
    x = 1,955.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.