Home / 1,981.40-2,975.34-1,547.24

Finding the Fourth Proportional to 1,981.40, 2,975.34 and 1,547.24

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Solution

The fourth proportional to 1,981.40, 2,975.34 and 1,547.24 is: 2,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.40 : 2,975.34 = 1,547.24 : x
  2. Step 2: Convert to fraction form
    1,981.40/2,975.34 = 1,547.24/x
  3. Step 3: Cross multiply
    1,981.40x = 2,975.34 × 1,547.24
  4. Step 4: Simplify right side
    1,981.40x = 4,603,565.06
  5. Step 5: Solve for x
    x = 4,603,565.06/1,981.40
  6. Step 6: Final answer
    x = 2,323.39

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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.