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Finding the Fourth Proportional to 1,714.99, 2,366.70 and 929.04

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Solution

The fourth proportional to 1,714.99, 2,366.70 and 929.04 is: 1,282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.99 : 2,366.70 = 929.04 : x
  2. Step 2: Convert to fraction form
    1,714.99/2,366.70 = 929.04/x
  3. Step 3: Cross multiply
    1,714.99x = 2,366.70 × 929.04
  4. Step 4: Simplify right side
    1,714.99x = 2,198,760.71
  5. Step 5: Solve for x
    x = 2,198,760.71/1,714.99
  6. Step 6: Final answer
    x = 1,282.08

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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.