Home / 1,470.11-2,029.71-973.58

Finding the Fourth Proportional to 1,470.11, 2,029.71 and 973.58

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Solution

The fourth proportional to 1,470.11, 2,029.71 and 973.58 is: 1,344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.11 : 2,029.71 = 973.58 : x
  2. Step 2: Convert to fraction form
    1,470.11/2,029.71 = 973.58/x
  3. Step 3: Cross multiply
    1,470.11x = 2,029.71 × 973.58
  4. Step 4: Simplify right side
    1,470.11x = 1,976,085.06
  5. Step 5: Solve for x
    x = 1,976,085.06/1,470.11
  6. Step 6: Final answer
    x = 1,344.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.