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Finding the Fourth Proportional to 2,357.02, 3,535.42 and 970.01

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Solution

The fourth proportional to 2,357.02, 3,535.42 and 970.01 is: 1,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.02 : 3,535.42 = 970.01 : x
  2. Step 2: Convert to fraction form
    2,357.02/3,535.42 = 970.01/x
  3. Step 3: Cross multiply
    2,357.02x = 3,535.42 × 970.01
  4. Step 4: Simplify right side
    2,357.02x = 3,429,392.75
  5. Step 5: Solve for x
    x = 3,429,392.75/2,357.02
  6. Step 6: Final answer
    x = 1,454.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.