Home / 1,671.42-2,306.52-972.84

Finding the Fourth Proportional to 1,671.42, 2,306.52 and 972.84

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Solution

The fourth proportional to 1,671.42, 2,306.52 and 972.84 is: 1,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.42 : 2,306.52 = 972.84 : x
  2. Step 2: Convert to fraction form
    1,671.42/2,306.52 = 972.84/x
  3. Step 3: Cross multiply
    1,671.42x = 2,306.52 × 972.84
  4. Step 4: Simplify right side
    1,671.42x = 2,243,874.92
  5. Step 5: Solve for x
    x = 2,243,874.92/1,671.42
  6. Step 6: Final answer
    x = 1,342.50

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1.5x scale

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.