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Finding the Fourth Proportional to 1,973.09, 2,957.53 and 1,484.63

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Solution

The fourth proportional to 1,973.09, 2,957.53 and 1,484.63 is: 2,225.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.09 : 2,957.53 = 1,484.63 : x
  2. Step 2: Convert to fraction form
    1,973.09/2,957.53 = 1,484.63/x
  3. Step 3: Cross multiply
    1,973.09x = 2,957.53 × 1,484.63
  4. Step 4: Simplify right side
    1,973.09x = 4,390,837.76
  5. Step 5: Solve for x
    x = 4,390,837.76/1,973.09
  6. Step 6: Final answer
    x = 2,225.36

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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.