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Finding the Fourth Proportional to 1,528.80, 2,280.72 and 1,312.80

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Solution

The fourth proportional to 1,528.80, 2,280.72 and 1,312.80 is: 1,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.80 : 2,280.72 = 1,312.80 : x
  2. Step 2: Convert to fraction form
    1,528.80/2,280.72 = 1,312.80/x
  3. Step 3: Cross multiply
    1,528.80x = 2,280.72 × 1,312.80
  4. Step 4: Simplify right side
    1,528.80x = 2,994,129.22
  5. Step 5: Solve for x
    x = 2,994,129.22/1,528.80
  6. Step 6: Final answer
    x = 1,958.48

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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.