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Finding the Fourth Proportional to 1,500.90, 2,248.65 and 1,410.54

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Solution

The fourth proportional to 1,500.90, 2,248.65 and 1,410.54 is: 2,113.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.90 : 2,248.65 = 1,410.54 : x
  2. Step 2: Convert to fraction form
    1,500.90/2,248.65 = 1,410.54/x
  3. Step 3: Cross multiply
    1,500.90x = 2,248.65 × 1,410.54
  4. Step 4: Simplify right side
    1,500.90x = 3,171,810.77
  5. Step 5: Solve for x
    x = 3,171,810.77/1,500.90
  6. Step 6: Final answer
    x = 2,113.27

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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.