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Finding the Fourth Proportional to 1,707.02, 2,559.04 and 1,416.93

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Solution

The fourth proportional to 1,707.02, 2,559.04 and 1,416.93 is: 2,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.02 : 2,559.04 = 1,416.93 : x
  2. Step 2: Convert to fraction form
    1,707.02/2,559.04 = 1,416.93/x
  3. Step 3: Cross multiply
    1,707.02x = 2,559.04 × 1,416.93
  4. Step 4: Simplify right side
    1,707.02x = 3,625,980.55
  5. Step 5: Solve for x
    x = 3,625,980.55/1,707.02
  6. Step 6: Final answer
    x = 2,124.16

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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.