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Finding the Fourth Proportional to 4,803, 7,204.58 and 1,340.25

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Solution

The fourth proportional to 4,803, 7,204.58 and 1,340.25 is: 2,010.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803 : 7,204.58 = 1,340.25 : x
  2. Step 2: Convert to fraction form
    4,803/7,204.58 = 1,340.25/x
  3. Step 3: Cross multiply
    4,803x = 7,204.58 × 1,340.25
  4. Step 4: Simplify right side
    4,803x = 9,655,931.64
  5. Step 5: Solve for x
    x = 9,655,931.64/4,803
  6. Step 6: Final answer
    x = 2,010.40

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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.