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Finding the Fourth Proportional to 1,798.63, 2,483.53 and 1,470.58

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Solution

The fourth proportional to 1,798.63, 2,483.53 and 1,470.58 is: 2,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.63 : 2,483.53 = 1,470.58 : x
  2. Step 2: Convert to fraction form
    1,798.63/2,483.53 = 1,470.58/x
  3. Step 3: Cross multiply
    1,798.63x = 2,483.53 × 1,470.58
  4. Step 4: Simplify right side
    1,798.63x = 3,652,219.66
  5. Step 5: Solve for x
    x = 3,652,219.66/1,798.63
  6. Step 6: Final answer
    x = 2,030.56

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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.