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Finding the Fourth Proportional to 2,373.50, 3,560.96 and 730.01

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Solution

The fourth proportional to 2,373.50, 3,560.96 and 730.01 is: 1,095.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.50 : 3,560.96 = 730.01 : x
  2. Step 2: Convert to fraction form
    2,373.50/3,560.96 = 730.01/x
  3. Step 3: Cross multiply
    2,373.50x = 3,560.96 × 730.01
  4. Step 4: Simplify right side
    2,373.50x = 2,599,547.14
  5. Step 5: Solve for x
    x = 2,599,547.14/2,373.50
  6. Step 6: Final answer
    x = 1,095.24

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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.