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Finding the Fourth Proportional to 1,555.51, 2,146.47 and 856.88

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Solution

The fourth proportional to 1,555.51, 2,146.47 and 856.88 is: 1,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.51 : 2,146.47 = 856.88 : x
  2. Step 2: Convert to fraction form
    1,555.51/2,146.47 = 856.88/x
  3. Step 3: Cross multiply
    1,555.51x = 2,146.47 × 856.88
  4. Step 4: Simplify right side
    1,555.51x = 1,839,267.21
  5. Step 5: Solve for x
    x = 1,839,267.21/1,555.51
  6. Step 6: Final answer
    x = 1,182.42

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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.