Home / 1,577.10-2,175.98-947.66

Finding the Fourth Proportional to 1,577.10, 2,175.98 and 947.66

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Solution

The fourth proportional to 1,577.10, 2,175.98 and 947.66 is: 1,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.10 : 2,175.98 = 947.66 : x
  2. Step 2: Convert to fraction form
    1,577.10/2,175.98 = 947.66/x
  3. Step 3: Cross multiply
    1,577.10x = 2,175.98 × 947.66
  4. Step 4: Simplify right side
    1,577.10x = 2,062,089.21
  5. Step 5: Solve for x
    x = 2,062,089.21/1,577.10
  6. Step 6: Final answer
    x = 1,307.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.