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Finding the Fourth Proportional to 1,253.66, 1,878.06 and 924

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Solution

The fourth proportional to 1,253.66, 1,878.06 and 924 is: 1,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.66 : 1,878.06 = 924 : x
  2. Step 2: Convert to fraction form
    1,253.66/1,878.06 = 924/x
  3. Step 3: Cross multiply
    1,253.66x = 1,878.06 × 924
  4. Step 4: Simplify right side
    1,253.66x = 1,735,327.44
  5. Step 5: Solve for x
    x = 1,735,327.44/1,253.66
  6. Step 6: Final answer
    x = 1,384.21

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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.