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Finding the Fourth Proportional to 2,596.42, 3,875.80 and 2,403.71

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Solution

The fourth proportional to 2,596.42, 3,875.80 and 2,403.71 is: 3,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.42 : 3,875.80 = 2,403.71 : x
  2. Step 2: Convert to fraction form
    2,596.42/3,875.80 = 2,403.71/x
  3. Step 3: Cross multiply
    2,596.42x = 3,875.80 × 2,403.71
  4. Step 4: Simplify right side
    2,596.42x = 9,316,273.83
  5. Step 5: Solve for x
    x = 9,316,273.83/2,596.42
  6. Step 6: Final answer
    x = 3,588.13

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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.