Home / 1,535.16-2,300.67-877.23

Finding the Fourth Proportional to 1,535.16, 2,300.67 and 877.23

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Solution

The fourth proportional to 1,535.16, 2,300.67 and 877.23 is: 1,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.16 : 2,300.67 = 877.23 : x
  2. Step 2: Convert to fraction form
    1,535.16/2,300.67 = 877.23/x
  3. Step 3: Cross multiply
    1,535.16x = 2,300.67 × 877.23
  4. Step 4: Simplify right side
    1,535.16x = 2,018,216.74
  5. Step 5: Solve for x
    x = 2,018,216.74/1,535.16
  6. Step 6: Final answer
    x = 1,314.66

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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.