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Finding the Fourth Proportional to 1,834.93, 2,532 and 1,038.16

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Solution

The fourth proportional to 1,834.93, 2,532 and 1,038.16 is: 1,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.93 : 2,532 = 1,038.16 : x
  2. Step 2: Convert to fraction form
    1,834.93/2,532 = 1,038.16/x
  3. Step 3: Cross multiply
    1,834.93x = 2,532 × 1,038.16
  4. Step 4: Simplify right side
    1,834.93x = 2,628,621.12
  5. Step 5: Solve for x
    x = 2,628,621.12/1,834.93
  6. Step 6: Final answer
    x = 1,432.55

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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.