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Finding the Fourth Proportional to 1,359.82, 2,038.21 and 947.71

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Solution

The fourth proportional to 1,359.82, 2,038.21 and 947.71 is: 1,420.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.82 : 2,038.21 = 947.71 : x
  2. Step 2: Convert to fraction form
    1,359.82/2,038.21 = 947.71/x
  3. Step 3: Cross multiply
    1,359.82x = 2,038.21 × 947.71
  4. Step 4: Simplify right side
    1,359.82x = 1,931,632.18
  5. Step 5: Solve for x
    x = 1,931,632.18/1,359.82
  6. Step 6: Final answer
    x = 1,420.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.