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Finding the Fourth Proportional to 1,946.07, 2,918.48 and 958.28

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Solution

The fourth proportional to 1,946.07, 2,918.48 and 958.28 is: 1,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,946.07 : 2,918.48 = 958.28 : x
  2. Step 2: Convert to fraction form
    1,946.07/2,918.48 = 958.28/x
  3. Step 3: Cross multiply
    1,946.07x = 2,918.48 × 958.28
  4. Step 4: Simplify right side
    1,946.07x = 2,796,701.63
  5. Step 5: Solve for x
    x = 2,796,701.63/1,946.07
  6. Step 6: Final answer
    x = 1,437.10

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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.