Home / 1,584.10-2,374.93-803.46

Finding the Fourth Proportional to 1,584.10, 2,374.93 and 803.46

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Solution

The fourth proportional to 1,584.10, 2,374.93 and 803.46 is: 1,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.10 : 2,374.93 = 803.46 : x
  2. Step 2: Convert to fraction form
    1,584.10/2,374.93 = 803.46/x
  3. Step 3: Cross multiply
    1,584.10x = 2,374.93 × 803.46
  4. Step 4: Simplify right side
    1,584.10x = 1,908,161.26
  5. Step 5: Solve for x
    x = 1,908,161.26/1,584.10
  6. Step 6: Final answer
    x = 1,204.57

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1.5x scale

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.