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Finding the Fourth Proportional to 1,416.15, 1,953.92 and 891.88

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Solution

The fourth proportional to 1,416.15, 1,953.92 and 891.88 is: 1,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.15 : 1,953.92 = 891.88 : x
  2. Step 2: Convert to fraction form
    1,416.15/1,953.92 = 891.88/x
  3. Step 3: Cross multiply
    1,416.15x = 1,953.92 × 891.88
  4. Step 4: Simplify right side
    1,416.15x = 1,742,659.51
  5. Step 5: Solve for x
    x = 1,742,659.51/1,416.15
  6. Step 6: Final answer
    x = 1,230.56

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1.5x scale

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.