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Finding the Fourth Proportional to 1,670.52, 2,502.40 and 835.08

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Solution

The fourth proportional to 1,670.52, 2,502.40 and 835.08 is: 1,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.52 : 2,502.40 = 835.08 : x
  2. Step 2: Convert to fraction form
    1,670.52/2,502.40 = 835.08/x
  3. Step 3: Cross multiply
    1,670.52x = 2,502.40 × 835.08
  4. Step 4: Simplify right side
    1,670.52x = 2,089,704.19
  5. Step 5: Solve for x
    x = 2,089,704.19/1,670.52
  6. Step 6: Final answer
    x = 1,250.93

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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.