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Finding the Fourth Proportional to 1,416.88, 1,955.91 and 945.53

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Solution

The fourth proportional to 1,416.88, 1,955.91 and 945.53 is: 1,305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.88 : 1,955.91 = 945.53 : x
  2. Step 2: Convert to fraction form
    1,416.88/1,955.91 = 945.53/x
  3. Step 3: Cross multiply
    1,416.88x = 1,955.91 × 945.53
  4. Step 4: Simplify right side
    1,416.88x = 1,849,371.58
  5. Step 5: Solve for x
    x = 1,849,371.58/1,416.88
  6. Step 6: Final answer
    x = 1,305.24

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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.