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Finding the Fourth Proportional to 1,831.70, 2,527.74 and 1,045.70

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Solution

The fourth proportional to 1,831.70, 2,527.74 and 1,045.70 is: 1,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.70 : 2,527.74 = 1,045.70 : x
  2. Step 2: Convert to fraction form
    1,831.70/2,527.74 = 1,045.70/x
  3. Step 3: Cross multiply
    1,831.70x = 2,527.74 × 1,045.70
  4. Step 4: Simplify right side
    1,831.70x = 2,643,257.72
  5. Step 5: Solve for x
    x = 2,643,257.72/1,831.70
  6. Step 6: Final answer
    x = 1,443.06

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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.