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Finding the Fourth Proportional to 2,333.34, 3,499.93 and 578.35

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Solution

The fourth proportional to 2,333.34, 3,499.93 and 578.35 is: 867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.34 : 3,499.93 = 578.35 : x
  2. Step 2: Convert to fraction form
    2,333.34/3,499.93 = 578.35/x
  3. Step 3: Cross multiply
    2,333.34x = 3,499.93 × 578.35
  4. Step 4: Simplify right side
    2,333.34x = 2,024,186.36
  5. Step 5: Solve for x
    x = 2,024,186.36/2,333.34
  6. Step 6: Final answer
    x = 867.50

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1.5x scale

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.