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Finding the Fourth Proportional to 1,576.14, 2,174.93 and 912.93

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Solution

The fourth proportional to 1,576.14, 2,174.93 and 912.93 is: 1,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.14 : 2,174.93 = 912.93 : x
  2. Step 2: Convert to fraction form
    1,576.14/2,174.93 = 912.93/x
  3. Step 3: Cross multiply
    1,576.14x = 2,174.93 × 912.93
  4. Step 4: Simplify right side
    1,576.14x = 1,985,547.97
  5. Step 5: Solve for x
    x = 1,985,547.97/1,576.14
  6. Step 6: Final answer
    x = 1,259.75

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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.