Home / 1,532.10-2,296.14-607.16

Finding the Fourth Proportional to 1,532.10, 2,296.14 and 607.16

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Solution

The fourth proportional to 1,532.10, 2,296.14 and 607.16 is: 909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.10 : 2,296.14 = 607.16 : x
  2. Step 2: Convert to fraction form
    1,532.10/2,296.14 = 607.16/x
  3. Step 3: Cross multiply
    1,532.10x = 2,296.14 × 607.16
  4. Step 4: Simplify right side
    1,532.10x = 1,394,117.38
  5. Step 5: Solve for x
    x = 1,394,117.38/1,532.10
  6. Step 6: Final answer
    x = 909.94

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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.