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Finding the Fourth Proportional to 2,001.51, 2,762.15 and 1,117.35

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Solution

The fourth proportional to 2,001.51, 2,762.15 and 1,117.35 is: 1,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.51 : 2,762.15 = 1,117.35 : x
  2. Step 2: Convert to fraction form
    2,001.51/2,762.15 = 1,117.35/x
  3. Step 3: Cross multiply
    2,001.51x = 2,762.15 × 1,117.35
  4. Step 4: Simplify right side
    2,001.51x = 3,086,282.72
  5. Step 5: Solve for x
    x = 3,086,282.72/2,001.51
  6. Step 6: Final answer
    x = 1,541.98

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