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Finding the Fourth Proportional to 1,509.98, 2,262.60 and 894.24

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Solution

The fourth proportional to 1,509.98, 2,262.60 and 894.24 is: 1,339.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.98 : 2,262.60 = 894.24 : x
  2. Step 2: Convert to fraction form
    1,509.98/2,262.60 = 894.24/x
  3. Step 3: Cross multiply
    1,509.98x = 2,262.60 × 894.24
  4. Step 4: Simplify right side
    1,509.98x = 2,023,307.42
  5. Step 5: Solve for x
    x = 2,023,307.42/1,509.98
  6. Step 6: Final answer
    x = 1,339.96

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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.