Home / 1,506.10-2,257.80-986.35

Finding the Fourth Proportional to 1,506.10, 2,257.80 and 986.35

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Solution

The fourth proportional to 1,506.10, 2,257.80 and 986.35 is: 1,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.10 : 2,257.80 = 986.35 : x
  2. Step 2: Convert to fraction form
    1,506.10/2,257.80 = 986.35/x
  3. Step 3: Cross multiply
    1,506.10x = 2,257.80 × 986.35
  4. Step 4: Simplify right side
    1,506.10x = 2,226,981.03
  5. Step 5: Solve for x
    x = 2,226,981.03/1,506.10
  6. Step 6: Final answer
    x = 1,478.64

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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.