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Finding the Fourth Proportional to 1,543.64, 2,129.84 and 914.12

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Solution

The fourth proportional to 1,543.64, 2,129.84 and 914.12 is: 1,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.64 : 2,129.84 = 914.12 : x
  2. Step 2: Convert to fraction form
    1,543.64/2,129.84 = 914.12/x
  3. Step 3: Cross multiply
    1,543.64x = 2,129.84 × 914.12
  4. Step 4: Simplify right side
    1,543.64x = 1,946,924.77
  5. Step 5: Solve for x
    x = 1,946,924.77/1,543.64
  6. Step 6: Final answer
    x = 1,261.26

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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.