Home / 1,477.02-2,038.22-813.84

Finding the Fourth Proportional to 1,477.02, 2,038.22 and 813.84

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Solution

The fourth proportional to 1,477.02, 2,038.22 and 813.84 is: 1,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.02 : 2,038.22 = 813.84 : x
  2. Step 2: Convert to fraction form
    1,477.02/2,038.22 = 813.84/x
  3. Step 3: Cross multiply
    1,477.02x = 2,038.22 × 813.84
  4. Step 4: Simplify right side
    1,477.02x = 1,658,784.96
  5. Step 5: Solve for x
    x = 1,658,784.96/1,477.02
  6. Step 6: Final answer
    x = 1,123.06

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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.