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Finding the Fourth Proportional to 1,471, 2,030.88 and 947.95

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Solution

The fourth proportional to 1,471, 2,030.88 and 947.95 is: 1,308.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471 : 2,030.88 = 947.95 : x
  2. Step 2: Convert to fraction form
    1,471/2,030.88 = 947.95/x
  3. Step 3: Cross multiply
    1,471x = 2,030.88 × 947.95
  4. Step 4: Simplify right side
    1,471x = 1,925,172.70
  5. Step 5: Solve for x
    x = 1,925,172.70/1,471
  6. Step 6: Final answer
    x = 1,308.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.