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Finding the Fourth Proportional to 1,702.33, 2,349.07 and 1,030.38

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Solution

The fourth proportional to 1,702.33, 2,349.07 and 1,030.38 is: 1,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.33 : 2,349.07 = 1,030.38 : x
  2. Step 2: Convert to fraction form
    1,702.33/2,349.07 = 1,030.38/x
  3. Step 3: Cross multiply
    1,702.33x = 2,349.07 × 1,030.38
  4. Step 4: Simplify right side
    1,702.33x = 2,420,434.75
  5. Step 5: Solve for x
    x = 2,420,434.75/1,702.33
  6. Step 6: Final answer
    x = 1,421.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.