Home / 1,500.16-2,070.22-837.14

Finding the Fourth Proportional to 1,500.16, 2,070.22 and 837.14

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Solution

The fourth proportional to 1,500.16, 2,070.22 and 837.14 is: 1,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.16 : 2,070.22 = 837.14 : x
  2. Step 2: Convert to fraction form
    1,500.16/2,070.22 = 837.14/x
  3. Step 3: Cross multiply
    1,500.16x = 2,070.22 × 837.14
  4. Step 4: Simplify right side
    1,500.16x = 1,733,063.97
  5. Step 5: Solve for x
    x = 1,733,063.97/1,500.16
  6. Step 6: Final answer
    x = 1,155.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.