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Finding the Fourth Proportional to 1,807.54, 2,724.28 and 1,707.06

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Solution

The fourth proportional to 1,807.54, 2,724.28 and 1,707.06 is: 2,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.54 : 2,724.28 = 1,707.06 : x
  2. Step 2: Convert to fraction form
    1,807.54/2,724.28 = 1,707.06/x
  3. Step 3: Cross multiply
    1,807.54x = 2,724.28 × 1,707.06
  4. Step 4: Simplify right side
    1,807.54x = 4,650,509.42
  5. Step 5: Solve for x
    x = 4,650,509.42/1,807.54
  6. Step 6: Final answer
    x = 2,572.84

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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.