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Finding the Fourth Proportional to 1,935.36, 2,901.59 and 947.87

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Solution

The fourth proportional to 1,935.36, 2,901.59 and 947.87 is: 1,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.36 : 2,901.59 = 947.87 : x
  2. Step 2: Convert to fraction form
    1,935.36/2,901.59 = 947.87/x
  3. Step 3: Cross multiply
    1,935.36x = 2,901.59 × 947.87
  4. Step 4: Simplify right side
    1,935.36x = 2,750,310.87
  5. Step 5: Solve for x
    x = 2,750,310.87/1,935.36
  6. Step 6: Final answer
    x = 1,421.08

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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.