Home / 1,704.17-2,556.40-471.58

Finding the Fourth Proportional to 1,704.17, 2,556.40 and 471.58

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Solution

The fourth proportional to 1,704.17, 2,556.40 and 471.58 is: 707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.17 : 2,556.40 = 471.58 : x
  2. Step 2: Convert to fraction form
    1,704.17/2,556.40 = 471.58/x
  3. Step 3: Cross multiply
    1,704.17x = 2,556.40 × 471.58
  4. Step 4: Simplify right side
    1,704.17x = 1,205,547.11
  5. Step 5: Solve for x
    x = 1,205,547.11/1,704.17
  6. Step 6: Final answer
    x = 707.41

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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.