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Finding the Fourth Proportional to 2,530.61, 3,795.91 and 886.25

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Solution

The fourth proportional to 2,530.61, 3,795.91 and 886.25 is: 1,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.61 : 3,795.91 = 886.25 : x
  2. Step 2: Convert to fraction form
    2,530.61/3,795.91 = 886.25/x
  3. Step 3: Cross multiply
    2,530.61x = 3,795.91 × 886.25
  4. Step 4: Simplify right side
    2,530.61x = 3,364,132.51
  5. Step 5: Solve for x
    x = 3,364,132.51/2,530.61
  6. Step 6: Final answer
    x = 1,329.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.