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Finding the Fourth Proportional to 1,416.85, 1,954.18 and 1,257.51

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Solution

The fourth proportional to 1,416.85, 1,954.18 and 1,257.51 is: 1,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.85 : 1,954.18 = 1,257.51 : x
  2. Step 2: Convert to fraction form
    1,416.85/1,954.18 = 1,257.51/x
  3. Step 3: Cross multiply
    1,416.85x = 1,954.18 × 1,257.51
  4. Step 4: Simplify right side
    1,416.85x = 2,457,397.03
  5. Step 5: Solve for x
    x = 2,457,397.03/1,416.85
  6. Step 6: Final answer
    x = 1,734.40

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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.