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Finding the Fourth Proportional to 1,931.52, 2,897.68 and 835.68

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Solution

The fourth proportional to 1,931.52, 2,897.68 and 835.68 is: 1,253.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.52 : 2,897.68 = 835.68 : x
  2. Step 2: Convert to fraction form
    1,931.52/2,897.68 = 835.68/x
  3. Step 3: Cross multiply
    1,931.52x = 2,897.68 × 835.68
  4. Step 4: Simplify right side
    1,931.52x = 2,421,533.22
  5. Step 5: Solve for x
    x = 2,421,533.22/1,931.52
  6. Step 6: Final answer
    x = 1,253.69

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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.