Home / 1,585.02-2,377.52-489.36

Finding the Fourth Proportional to 1,585.02, 2,377.52 and 489.36

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Solution

The fourth proportional to 1,585.02, 2,377.52 and 489.36 is: 734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.02 : 2,377.52 = 489.36 : x
  2. Step 2: Convert to fraction form
    1,585.02/2,377.52 = 489.36/x
  3. Step 3: Cross multiply
    1,585.02x = 2,377.52 × 489.36
  4. Step 4: Simplify right side
    1,585.02x = 1,163,463.19
  5. Step 5: Solve for x
    x = 1,163,463.19/1,585.02
  6. Step 6: Final answer
    x = 734.04

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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.