Home / 1,569.40-2,354.10-1,022.65

Finding the Fourth Proportional to 1,569.40, 2,354.10 and 1,022.65

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Solution

The fourth proportional to 1,569.40, 2,354.10 and 1,022.65 is: 1,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.40 : 2,354.10 = 1,022.65 : x
  2. Step 2: Convert to fraction form
    1,569.40/2,354.10 = 1,022.65/x
  3. Step 3: Cross multiply
    1,569.40x = 2,354.10 × 1,022.65
  4. Step 4: Simplify right side
    1,569.40x = 2,407,421.58
  5. Step 5: Solve for x
    x = 2,407,421.58/1,569.40
  6. Step 6: Final answer
    x = 1,533.98

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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.