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Finding the Fourth Proportional to 1,657.82, 2,475.64 and 1,573.58

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Solution

The fourth proportional to 1,657.82, 2,475.64 and 1,573.58 is: 2,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.82 : 2,475.64 = 1,573.58 : x
  2. Step 2: Convert to fraction form
    1,657.82/2,475.64 = 1,573.58/x
  3. Step 3: Cross multiply
    1,657.82x = 2,475.64 × 1,573.58
  4. Step 4: Simplify right side
    1,657.82x = 3,895,617.59
  5. Step 5: Solve for x
    x = 3,895,617.59/1,657.82
  6. Step 6: Final answer
    x = 2,349.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.