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Finding the Fourth Proportional to 1,415.90, 1,953.66 and 1,259.18

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Solution

The fourth proportional to 1,415.90, 1,953.66 and 1,259.18 is: 1,737.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.90 : 1,953.66 = 1,259.18 : x
  2. Step 2: Convert to fraction form
    1,415.90/1,953.66 = 1,259.18/x
  3. Step 3: Cross multiply
    1,415.90x = 1,953.66 × 1,259.18
  4. Step 4: Simplify right side
    1,415.90x = 2,460,009.60
  5. Step 5: Solve for x
    x = 2,460,009.60/1,415.90
  6. Step 6: Final answer
    x = 1,737.42

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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.