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Finding the Fourth Proportional to 1,707.60, 2,360.25 and 1,557.66

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Solution

The fourth proportional to 1,707.60, 2,360.25 and 1,557.66 is: 2,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.60 : 2,360.25 = 1,557.66 : x
  2. Step 2: Convert to fraction form
    1,707.60/2,360.25 = 1,557.66/x
  3. Step 3: Cross multiply
    1,707.60x = 2,360.25 × 1,557.66
  4. Step 4: Simplify right side
    1,707.60x = 3,676,467.02
  5. Step 5: Solve for x
    x = 3,676,467.02/1,707.60
  6. Step 6: Final answer
    x = 2,153.00

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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.