Home / 2,307.20-3,461.28-846.30

Finding the Fourth Proportional to 2,307.20, 3,461.28 and 846.30

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Solution

The fourth proportional to 2,307.20, 3,461.28 and 846.30 is: 1,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.20 : 3,461.28 = 846.30 : x
  2. Step 2: Convert to fraction form
    2,307.20/3,461.28 = 846.30/x
  3. Step 3: Cross multiply
    2,307.20x = 3,461.28 × 846.30
  4. Step 4: Simplify right side
    2,307.20x = 2,929,281.26
  5. Step 5: Solve for x
    x = 2,929,281.26/2,307.20
  6. Step 6: Final answer
    x = 1,269.63

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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.