Home / 1,886.16-2,828.34-586.92

Finding the Fourth Proportional to 1,886.16, 2,828.34 and 586.92

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Solution

The fourth proportional to 1,886.16, 2,828.34 and 586.92 is: 880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.16 : 2,828.34 = 586.92 : x
  2. Step 2: Convert to fraction form
    1,886.16/2,828.34 = 586.92/x
  3. Step 3: Cross multiply
    1,886.16x = 2,828.34 × 586.92
  4. Step 4: Simplify right side
    1,886.16x = 1,660,009.31
  5. Step 5: Solve for x
    x = 1,660,009.31/1,886.16
  6. Step 6: Final answer
    x = 880.10

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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.