Home / 1,534.02-2,116.77-870.84

Finding the Fourth Proportional to 1,534.02, 2,116.77 and 870.84

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Solution

The fourth proportional to 1,534.02, 2,116.77 and 870.84 is: 1,201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.02 : 2,116.77 = 870.84 : x
  2. Step 2: Convert to fraction form
    1,534.02/2,116.77 = 870.84/x
  3. Step 3: Cross multiply
    1,534.02x = 2,116.77 × 870.84
  4. Step 4: Simplify right side
    1,534.02x = 1,843,367.99
  5. Step 5: Solve for x
    x = 1,843,367.99/1,534.02
  6. Step 6: Final answer
    x = 1,201.66

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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.