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Finding the Fourth Proportional to 2,357.52, 3,536.88 and 1,384.44

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Solution

The fourth proportional to 2,357.52, 3,536.88 and 1,384.44 is: 2,077.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.52 : 3,536.88 = 1,384.44 : x
  2. Step 2: Convert to fraction form
    2,357.52/3,536.88 = 1,384.44/x
  3. Step 3: Cross multiply
    2,357.52x = 3,536.88 × 1,384.44
  4. Step 4: Simplify right side
    2,357.52x = 4,896,598.15
  5. Step 5: Solve for x
    x = 4,896,598.15/2,357.52
  6. Step 6: Final answer
    x = 2,077.01

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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.