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Finding the Fourth Proportional to 1,714.68, 2,570.09 and 1,576.23

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Solution

The fourth proportional to 1,714.68, 2,570.09 and 1,576.23 is: 2,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.68 : 2,570.09 = 1,576.23 : x
  2. Step 2: Convert to fraction form
    1,714.68/2,570.09 = 1,576.23/x
  3. Step 3: Cross multiply
    1,714.68x = 2,570.09 × 1,576.23
  4. Step 4: Simplify right side
    1,714.68x = 4,051,045.08
  5. Step 5: Solve for x
    x = 4,051,045.08/1,714.68
  6. Step 6: Final answer
    x = 2,362.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.