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Finding the Fourth Proportional to 1,358.76, 2,035.75 and 947.10

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Solution

The fourth proportional to 1,358.76, 2,035.75 and 947.10 is: 1,418.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.76 : 2,035.75 = 947.10 : x
  2. Step 2: Convert to fraction form
    1,358.76/2,035.75 = 947.10/x
  3. Step 3: Cross multiply
    1,358.76x = 2,035.75 × 947.10
  4. Step 4: Simplify right side
    1,358.76x = 1,928,058.83
  5. Step 5: Solve for x
    x = 1,928,058.83/1,358.76
  6. Step 6: Final answer
    x = 1,418.98

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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.