Home / 1,470.96-2,030.56-973.84

Finding the Fourth Proportional to 1,470.96, 2,030.56 and 973.84

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Solution

The fourth proportional to 1,470.96, 2,030.56 and 973.84 is: 1,344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.96 : 2,030.56 = 973.84 : x
  2. Step 2: Convert to fraction form
    1,470.96/2,030.56 = 973.84/x
  3. Step 3: Cross multiply
    1,470.96x = 2,030.56 × 973.84
  4. Step 4: Simplify right side
    1,470.96x = 1,977,440.55
  5. Step 5: Solve for x
    x = 1,977,440.55/1,470.96
  6. Step 6: Final answer
    x = 1,344.32

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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.