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Finding the Fourth Proportional to 1,859.94, 2,567.03 and 1,417.01

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Solution

The fourth proportional to 1,859.94, 2,567.03 and 1,417.01 is: 1,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.94 : 2,567.03 = 1,417.01 : x
  2. Step 2: Convert to fraction form
    1,859.94/2,567.03 = 1,417.01/x
  3. Step 3: Cross multiply
    1,859.94x = 2,567.03 × 1,417.01
  4. Step 4: Simplify right side
    1,859.94x = 3,637,487.26
  5. Step 5: Solve for x
    x = 3,637,487.26/1,859.94
  6. Step 6: Final answer
    x = 1,955.70

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Why These Related Problems?

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