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Finding the Fourth Proportional to 3,047.52, 4,570.47 and 1,404.84

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Solution

The fourth proportional to 3,047.52, 4,570.47 and 1,404.84 is: 2,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.52 : 4,570.47 = 1,404.84 : x
  2. Step 2: Convert to fraction form
    3,047.52/4,570.47 = 1,404.84/x
  3. Step 3: Cross multiply
    3,047.52x = 4,570.47 × 1,404.84
  4. Step 4: Simplify right side
    3,047.52x = 6,420,779.07
  5. Step 5: Solve for x
    x = 6,420,779.07/3,047.52
  6. Step 6: Final answer
    x = 2,106.89

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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.