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Finding the Fourth Proportional to 1,681.51, 2,509.55 and 1,637.77

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Solution

The fourth proportional to 1,681.51, 2,509.55 and 1,637.77 is: 2,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.51 : 2,509.55 = 1,637.77 : x
  2. Step 2: Convert to fraction form
    1,681.51/2,509.55 = 1,637.77/x
  3. Step 3: Cross multiply
    1,681.51x = 2,509.55 × 1,637.77
  4. Step 4: Simplify right side
    1,681.51x = 4,110,065.70
  5. Step 5: Solve for x
    x = 4,110,065.70/1,681.51
  6. Step 6: Final answer
    x = 2,444.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.