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Finding the Fourth Proportional to 1,880.44, 2,595.02 and 1,094.54

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Solution

The fourth proportional to 1,880.44, 2,595.02 and 1,094.54 is: 1,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.44 : 2,595.02 = 1,094.54 : x
  2. Step 2: Convert to fraction form
    1,880.44/2,595.02 = 1,094.54/x
  3. Step 3: Cross multiply
    1,880.44x = 2,595.02 × 1,094.54
  4. Step 4: Simplify right side
    1,880.44x = 2,840,334.74
  5. Step 5: Solve for x
    x = 2,840,334.74/1,880.44
  6. Step 6: Final answer
    x = 1,510.46

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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.