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Finding the Fourth Proportional to 1,573.56, 2,165.10 and 1,535.16

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Solution

The fourth proportional to 1,573.56, 2,165.10 and 1,535.16 is: 2,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573.56 : 2,165.10 = 1,535.16 : x
  2. Step 2: Convert to fraction form
    1,573.56/2,165.10 = 1,535.16/x
  3. Step 3: Cross multiply
    1,573.56x = 2,165.10 × 1,535.16
  4. Step 4: Simplify right side
    1,573.56x = 3,323,774.92
  5. Step 5: Solve for x
    x = 3,323,774.92/1,573.56
  6. Step 6: Final answer
    x = 2,112.26

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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.