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Finding the Fourth Proportional to 2,952.77, 4,075.02 and 1,693.82

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Solution

The fourth proportional to 2,952.77, 4,075.02 and 1,693.82 is: 2,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.77 : 4,075.02 = 1,693.82 : x
  2. Step 2: Convert to fraction form
    2,952.77/4,075.02 = 1,693.82/x
  3. Step 3: Cross multiply
    2,952.77x = 4,075.02 × 1,693.82
  4. Step 4: Simplify right side
    2,952.77x = 6,902,330.00
  5. Step 5: Solve for x
    x = 6,902,330.00/2,952.77
  6. Step 6: Final answer
    x = 2,337.58

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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.