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Finding the Fourth Proportional to 1,575, 2,349.72 and 1,498.44

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Solution

The fourth proportional to 1,575, 2,349.72 and 1,498.44 is: 2,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575 : 2,349.72 = 1,498.44 : x
  2. Step 2: Convert to fraction form
    1,575/2,349.72 = 1,498.44/x
  3. Step 3: Cross multiply
    1,575x = 2,349.72 × 1,498.44
  4. Step 4: Simplify right side
    1,575x = 3,520,914.44
  5. Step 5: Solve for x
    x = 3,520,914.44/1,575
  6. Step 6: Final answer
    x = 2,235.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.