Home / 1,586.02-2,377.64-804.93

Finding the Fourth Proportional to 1,586.02, 2,377.64 and 804.93

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Solution

The fourth proportional to 1,586.02, 2,377.64 and 804.93 is: 1,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.02 : 2,377.64 = 804.93 : x
  2. Step 2: Convert to fraction form
    1,586.02/2,377.64 = 804.93/x
  3. Step 3: Cross multiply
    1,586.02x = 2,377.64 × 804.93
  4. Step 4: Simplify right side
    1,586.02x = 1,913,833.77
  5. Step 5: Solve for x
    x = 1,913,833.77/1,586.02
  6. Step 6: Final answer
    x = 1,206.69

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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.