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Finding the Fourth Proportional to 1,831.68, 2,526.80 and 1,308.02

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Solution

The fourth proportional to 1,831.68, 2,526.80 and 1,308.02 is: 1,804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.68 : 2,526.80 = 1,308.02 : x
  2. Step 2: Convert to fraction form
    1,831.68/2,526.80 = 1,308.02/x
  3. Step 3: Cross multiply
    1,831.68x = 2,526.80 × 1,308.02
  4. Step 4: Simplify right side
    1,831.68x = 3,305,085.76
  5. Step 5: Solve for x
    x = 3,305,085.76/1,831.68
  6. Step 6: Final answer
    x = 1,804.40

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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.