Home / 1,582.40-2,371.68-895.04

Finding the Fourth Proportional to 1,582.40, 2,371.68 and 895.04

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Solution

The fourth proportional to 1,582.40, 2,371.68 and 895.04 is: 1,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.40 : 2,371.68 = 895.04 : x
  2. Step 2: Convert to fraction form
    1,582.40/2,371.68 = 895.04/x
  3. Step 3: Cross multiply
    1,582.40x = 2,371.68 × 895.04
  4. Step 4: Simplify right side
    1,582.40x = 2,122,748.47
  5. Step 5: Solve for x
    x = 2,122,748.47/1,582.40
  6. Step 6: Final answer
    x = 1,341.47

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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.