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Finding the Fourth Proportional to 2,036.40, 2,807.16 and 1,755.60

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Solution

The fourth proportional to 2,036.40, 2,807.16 and 1,755.60 is: 2,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.40 : 2,807.16 = 1,755.60 : x
  2. Step 2: Convert to fraction form
    2,036.40/2,807.16 = 1,755.60/x
  3. Step 3: Cross multiply
    2,036.40x = 2,807.16 × 1,755.60
  4. Step 4: Simplify right side
    2,036.40x = 4,928,250.10
  5. Step 5: Solve for x
    x = 4,928,250.10/2,036.40
  6. Step 6: Final answer
    x = 2,420.08

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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.