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Finding the Fourth Proportional to 1,410.48, 2,126.88 and 1,374.48

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Solution

The fourth proportional to 1,410.48, 2,126.88 and 1,374.48 is: 2,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.48 : 2,126.88 = 1,374.48 : x
  2. Step 2: Convert to fraction form
    1,410.48/2,126.88 = 1,374.48/x
  3. Step 3: Cross multiply
    1,410.48x = 2,126.88 × 1,374.48
  4. Step 4: Simplify right side
    1,410.48x = 2,923,354.02
  5. Step 5: Solve for x
    x = 2,923,354.02/1,410.48
  6. Step 6: Final answer
    x = 2,072.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.