Home / 1,913.16-2,869.36-526.14

Finding the Fourth Proportional to 1,913.16, 2,869.36 and 526.14

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Solution

The fourth proportional to 1,913.16, 2,869.36 and 526.14 is: 789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.16 : 2,869.36 = 526.14 : x
  2. Step 2: Convert to fraction form
    1,913.16/2,869.36 = 526.14/x
  3. Step 3: Cross multiply
    1,913.16x = 2,869.36 × 526.14
  4. Step 4: Simplify right side
    1,913.16x = 1,509,669.41
  5. Step 5: Solve for x
    x = 1,509,669.41/1,913.16
  6. Step 6: Final answer
    x = 789.10

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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.