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Finding the Fourth Proportional to 4,700.46, 7,051.02 and 1,580.45

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Solution

The fourth proportional to 4,700.46, 7,051.02 and 1,580.45 is: 2,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.46 : 7,051.02 = 1,580.45 : x
  2. Step 2: Convert to fraction form
    4,700.46/7,051.02 = 1,580.45/x
  3. Step 3: Cross multiply
    4,700.46x = 7,051.02 × 1,580.45
  4. Step 4: Simplify right side
    4,700.46x = 11,143,786.46
  5. Step 5: Solve for x
    x = 11,143,786.46/4,700.46
  6. Step 6: Final answer
    x = 2,370.79

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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.