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Finding the Fourth Proportional to 1,987.94, 2,981.94 and 948.06

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Solution

The fourth proportional to 1,987.94, 2,981.94 and 948.06 is: 1,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.94 : 2,981.94 = 948.06 : x
  2. Step 2: Convert to fraction form
    1,987.94/2,981.94 = 948.06/x
  3. Step 3: Cross multiply
    1,987.94x = 2,981.94 × 948.06
  4. Step 4: Simplify right side
    1,987.94x = 2,827,058.04
  5. Step 5: Solve for x
    x = 2,827,058.04/1,987.94
  6. Step 6: Final answer
    x = 1,422.10

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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.