Home / 1,566.58-2,347.28-1,506.64

Finding the Fourth Proportional to 1,566.58, 2,347.28 and 1,506.64

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Solution

The fourth proportional to 1,566.58, 2,347.28 and 1,506.64 is: 2,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,566.58 : 2,347.28 = 1,506.64 : x
  2. Step 2: Convert to fraction form
    1,566.58/2,347.28 = 1,506.64/x
  3. Step 3: Cross multiply
    1,566.58x = 2,347.28 × 1,506.64
  4. Step 4: Simplify right side
    1,566.58x = 3,536,505.94
  5. Step 5: Solve for x
    x = 3,536,505.94/1,566.58
  6. Step 6: Final answer
    x = 2,257.47

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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.