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Finding the Fourth Proportional to 1,746.32, 2,410.34 and 1,000.71

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Solution

The fourth proportional to 1,746.32, 2,410.34 and 1,000.71 is: 1,381.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.32 : 2,410.34 = 1,000.71 : x
  2. Step 2: Convert to fraction form
    1,746.32/2,410.34 = 1,000.71/x
  3. Step 3: Cross multiply
    1,746.32x = 2,410.34 × 1,000.71
  4. Step 4: Simplify right side
    1,746.32x = 2,412,051.34
  5. Step 5: Solve for x
    x = 2,412,051.34/1,746.32
  6. Step 6: Final answer
    x = 1,381.22

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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.