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Finding the Fourth Proportional to 1,714.64, 2,365.79 and 1,042.25

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Solution

The fourth proportional to 1,714.64, 2,365.79 and 1,042.25 is: 1,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.64 : 2,365.79 = 1,042.25 : x
  2. Step 2: Convert to fraction form
    1,714.64/2,365.79 = 1,042.25/x
  3. Step 3: Cross multiply
    1,714.64x = 2,365.79 × 1,042.25
  4. Step 4: Simplify right side
    1,714.64x = 2,465,727.59
  5. Step 5: Solve for x
    x = 2,465,727.59/1,714.64
  6. Step 6: Final answer
    x = 1,438.05

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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.