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Finding the Fourth Proportional to 1,500.50, 2,070.90 and 977.64

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Solution

The fourth proportional to 1,500.50, 2,070.90 and 977.64 is: 1,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.50 : 2,070.90 = 977.64 : x
  2. Step 2: Convert to fraction form
    1,500.50/2,070.90 = 977.64/x
  3. Step 3: Cross multiply
    1,500.50x = 2,070.90 × 977.64
  4. Step 4: Simplify right side
    1,500.50x = 2,024,594.68
  5. Step 5: Solve for x
    x = 2,024,594.68/1,500.50
  6. Step 6: Final answer
    x = 1,349.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.