Home / 1,970.87-2,951.69-1,557.23

Finding the Fourth Proportional to 1,970.87, 2,951.69 and 1,557.23

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Solution

The fourth proportional to 1,970.87, 2,951.69 and 1,557.23 is: 2,332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.87 : 2,951.69 = 1,557.23 : x
  2. Step 2: Convert to fraction form
    1,970.87/2,951.69 = 1,557.23/x
  3. Step 3: Cross multiply
    1,970.87x = 2,951.69 × 1,557.23
  4. Step 4: Simplify right side
    1,970.87x = 4,596,437.67
  5. Step 5: Solve for x
    x = 4,596,437.67/1,970.87
  6. Step 6: Final answer
    x = 2,332.19

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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.