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Finding the Fourth Proportional to 2,154.59, 2,973.58 and 1,210.38

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Solution

The fourth proportional to 2,154.59, 2,973.58 and 1,210.38 is: 1,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.59 : 2,973.58 = 1,210.38 : x
  2. Step 2: Convert to fraction form
    2,154.59/2,973.58 = 1,210.38/x
  3. Step 3: Cross multiply
    2,154.59x = 2,973.58 × 1,210.38
  4. Step 4: Simplify right side
    2,154.59x = 3,599,164.46
  5. Step 5: Solve for x
    x = 3,599,164.46/2,154.59
  6. Step 6: Final answer
    x = 1,670.47

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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.