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Finding the Fourth Proportional to 2,357.84, 3,253.26 and 1,362.93

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Solution

The fourth proportional to 2,357.84, 3,253.26 and 1,362.93 is: 1,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.84 : 3,253.26 = 1,362.93 : x
  2. Step 2: Convert to fraction form
    2,357.84/3,253.26 = 1,362.93/x
  3. Step 3: Cross multiply
    2,357.84x = 3,253.26 × 1,362.93
  4. Step 4: Simplify right side
    2,357.84x = 4,433,965.65
  5. Step 5: Solve for x
    x = 4,433,965.65/2,357.84
  6. Step 6: Final answer
    x = 1,880.52

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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.