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Finding the Fourth Proportional to 1,532.86, 2,114.36 and 973.14

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Solution

The fourth proportional to 1,532.86, 2,114.36 and 973.14 is: 1,342.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.86 : 2,114.36 = 973.14 : x
  2. Step 2: Convert to fraction form
    1,532.86/2,114.36 = 973.14/x
  3. Step 3: Cross multiply
    1,532.86x = 2,114.36 × 973.14
  4. Step 4: Simplify right side
    1,532.86x = 2,057,568.29
  5. Step 5: Solve for x
    x = 2,057,568.29/1,532.86
  6. Step 6: Final answer
    x = 1,342.31

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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.