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Finding the Fourth Proportional to 1,925.46, 2,880.90 and 1,193.22

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Solution

The fourth proportional to 1,925.46, 2,880.90 and 1,193.22 is: 1,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.46 : 2,880.90 = 1,193.22 : x
  2. Step 2: Convert to fraction form
    1,925.46/2,880.90 = 1,193.22/x
  3. Step 3: Cross multiply
    1,925.46x = 2,880.90 × 1,193.22
  4. Step 4: Simplify right side
    1,925.46x = 3,437,547.50
  5. Step 5: Solve for x
    x = 3,437,547.50/1,925.46
  6. Step 6: Final answer
    x = 1,785.31

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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.