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Finding the Fourth Proportional to 2,811.51, 4,218.48 and 1,513.89

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Solution

The fourth proportional to 2,811.51, 4,218.48 and 1,513.89 is: 2,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.51 : 4,218.48 = 1,513.89 : x
  2. Step 2: Convert to fraction form
    2,811.51/4,218.48 = 1,513.89/x
  3. Step 3: Cross multiply
    2,811.51x = 4,218.48 × 1,513.89
  4. Step 4: Simplify right side
    2,811.51x = 6,386,314.69
  5. Step 5: Solve for x
    x = 6,386,314.69/2,811.51
  6. Step 6: Final answer
    x = 2,271.49

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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.