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Finding the Fourth Proportional to 2,343.55, 3,515.93 and 700.09

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Solution

The fourth proportional to 2,343.55, 3,515.93 and 700.09 is: 1,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.55 : 3,515.93 = 700.09 : x
  2. Step 2: Convert to fraction form
    2,343.55/3,515.93 = 700.09/x
  3. Step 3: Cross multiply
    2,343.55x = 3,515.93 × 700.09
  4. Step 4: Simplify right side
    2,343.55x = 2,461,479.51
  5. Step 5: Solve for x
    x = 2,461,479.51/2,343.55
  6. Step 6: Final answer
    x = 1,050.32

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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.