Home / 1,518.09-2,277.53-824.58

Finding the Fourth Proportional to 1,518.09, 2,277.53 and 824.58

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Solution

The fourth proportional to 1,518.09, 2,277.53 and 824.58 is: 1,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.09 : 2,277.53 = 824.58 : x
  2. Step 2: Convert to fraction form
    1,518.09/2,277.53 = 824.58/x
  3. Step 3: Cross multiply
    1,518.09x = 2,277.53 × 824.58
  4. Step 4: Simplify right side
    1,518.09x = 1,878,005.69
  5. Step 5: Solve for x
    x = 1,878,005.69/1,518.09
  6. Step 6: Final answer
    x = 1,237.08

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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.