Home / 1,509.61-2,083.27-837.41

Finding the Fourth Proportional to 1,509.61, 2,083.27 and 837.41

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Solution

The fourth proportional to 1,509.61, 2,083.27 and 837.41 is: 1,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.61 : 2,083.27 = 837.41 : x
  2. Step 2: Convert to fraction form
    1,509.61/2,083.27 = 837.41/x
  3. Step 3: Cross multiply
    1,509.61x = 2,083.27 × 837.41
  4. Step 4: Simplify right side
    1,509.61x = 1,744,557.77
  5. Step 5: Solve for x
    x = 1,744,557.77/1,509.61
  6. Step 6: Final answer
    x = 1,155.63

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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.