Home / 1,931.67-2,897.46-470.84

Finding the Fourth Proportional to 1,931.67, 2,897.46 and 470.84

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Solution

The fourth proportional to 1,931.67, 2,897.46 and 470.84 is: 706.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.67 : 2,897.46 = 470.84 : x
  2. Step 2: Convert to fraction form
    1,931.67/2,897.46 = 470.84/x
  3. Step 3: Cross multiply
    1,931.67x = 2,897.46 × 470.84
  4. Step 4: Simplify right side
    1,931.67x = 1,364,225.58
  5. Step 5: Solve for x
    x = 1,364,225.58/1,931.67
  6. Step 6: Final answer
    x = 706.24

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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.