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Finding the Fourth Proportional to 1,510.22, 2,264.43 and 894.62

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Solution

The fourth proportional to 1,510.22, 2,264.43 and 894.62 is: 1,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.22 : 2,264.43 = 894.62 : x
  2. Step 2: Convert to fraction form
    1,510.22/2,264.43 = 894.62/x
  3. Step 3: Cross multiply
    1,510.22x = 2,264.43 × 894.62
  4. Step 4: Simplify right side
    1,510.22x = 2,025,804.37
  5. Step 5: Solve for x
    x = 2,025,804.37/1,510.22
  6. Step 6: Final answer
    x = 1,341.40

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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.