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Finding the Fourth Proportional to 2,333.10, 3,482.54 and 2,041.50

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Solution

The fourth proportional to 2,333.10, 3,482.54 and 2,041.50 is: 3,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.10 : 3,482.54 = 2,041.50 : x
  2. Step 2: Convert to fraction form
    2,333.10/3,482.54 = 2,041.50/x
  3. Step 3: Cross multiply
    2,333.10x = 3,482.54 × 2,041.50
  4. Step 4: Simplify right side
    2,333.10x = 7,109,595.20
  5. Step 5: Solve for x
    x = 7,109,595.20/2,333.10
  6. Step 6: Final answer
    x = 3,047.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.