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Finding the Fourth Proportional to 1,831.40, 2,746.18 and 598.67

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Solution

The fourth proportional to 1,831.40, 2,746.18 and 598.67 is: 897.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.40 : 2,746.18 = 598.67 : x
  2. Step 2: Convert to fraction form
    1,831.40/2,746.18 = 598.67/x
  3. Step 3: Cross multiply
    1,831.40x = 2,746.18 × 598.67
  4. Step 4: Simplify right side
    1,831.40x = 1,644,052.90
  5. Step 5: Solve for x
    x = 1,644,052.90/1,831.40
  6. Step 6: Final answer
    x = 897.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.