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Finding the Fourth Proportional to 3,088.89, 4,630.91 and 1,527.80

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Solution

The fourth proportional to 3,088.89, 4,630.91 and 1,527.80 is: 2,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.89 : 4,630.91 = 1,527.80 : x
  2. Step 2: Convert to fraction form
    3,088.89/4,630.91 = 1,527.80/x
  3. Step 3: Cross multiply
    3,088.89x = 4,630.91 × 1,527.80
  4. Step 4: Simplify right side
    3,088.89x = 7,075,073.50
  5. Step 5: Solve for x
    x = 7,075,073.50/3,088.89
  6. Step 6: Final answer
    x = 2,290.49

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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.